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105044445 = 34511171973
BaseRepresentation
bin1100100001011…
…01100111011101
321022122210220000
412100231213131
5203342410240
614231244513
72413602012
oct620554735
9238583800
10105044445
11543274a0
122b219739
13189bb89c
14dd45709
15934e430
hex642d9dd

105044445 has 160 divisors (see below), whose sum is σ = 232087680. Its totient is φ = 44789760.

The previous prime is 105044441. The next prime is 105044449. The reversal of 105044445 is 544440501.

It is an interprime number because it is at equal distance from previous prime (105044441) and next prime (105044449).

It is not a de Polignac number, because 105044445 - 22 = 105044441 is a prime.

It is a super-2 number, since 2×1050444452 = 22068670850716050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105044441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1438929 + ... + 1439001.

It is an arithmetic number, because the mean of its divisors is an integer number (1450548).

Almost surely, 2105044445 is an apocalyptic number.

105044445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105044445 is an abundant number, since it is smaller than the sum of its proper divisors (127043235).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105044445 is a wasteful number, since it uses less digits than its factorization.

105044445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 105044445 is about 10249.1192304510. The cubic root of 105044445 is about 471.8359530575.

Adding to 105044445 its reverse (544440501), we get a palindrome (649484946).

The spelling of 105044445 in words is "one hundred five million, forty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 17 19 27 33 45 51 55 57 73 81 85 95 99 135 153 165 171 187 209 219 255 285 297 323 365 405 459 495 513 561 627 657 765 803 855 891 935 969 1045 1095 1241 1377 1387 1485 1539 1615 1683 1881 1971 2295 2409 2565 2805 2907 3135 3285 3553 3723 4015 4161 4455 4845 5049 5643 5913 6205 6885 6935 7227 7695 8415 8721 9405 9855 10659 11169 12045 12483 13651 14535 15147 15257 16929 17765 18615 20805 21681 23579 25245 26163 28215 29565 31977 33507 36135 37449 40953 43605 45771 53295 55845 62415 65043 68255 70737 75735 76285 84645 95931 100521 108405 112347 117895 122859 130815 137313 159885 167535 187245 204765 212211 228855 259369 287793 325215 353685 368577 411939 479655 502605 561735 614295 636633 686565 778107 1061055 1105731 1235817 1296845 1438965 1842885 1909899 2059695 2334321 3183165 3890535 5528655 6179085 7002963 9549495 11671605 21008889 35014815 105044445