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105423300003 = 37192931833541
BaseRepresentation
bin110001000101110110…
…1111110010110100011
3101002010010112112020210
41202023231332112203
53211401331100003
6120233015105203
710421326156530
oct1421355762643
9332103475223
10105423300003
114078978271a
1218522072203
139c3127a0b8
14516142dd87
152b20408503
hex188bb7e5a3

105423300003 has 128 divisors (see below), whose sum is σ = 182801203200. Its totient is φ = 52668403200.

The previous prime is 105423299999. The next prime is 105423300007. The reversal of 105423300003 is 300003324501.

It is an interprime number because it is at equal distance from previous prime (105423299999) and next prime (105423300007).

It is not a de Polignac number, because 105423300003 - 22 = 105423299999 is a prime.

It is a super-2 number, since 2×1054233000032 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (105423300007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29770413 + ... + 29773953.

It is an arithmetic number, because the mean of its divisors is an integer number (1428134400).

Almost surely, 2105423300003 is an apocalyptic number.

105423300003 is a deficient number, since it is larger than the sum of its proper divisors (77377903197).

105423300003 is a wasteful number, since it uses less digits than its factorization.

105423300003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713.

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 105423300003 its reverse (300003324501), we get a palindrome (405426624504).

The spelling of 105423300003 in words is "one hundred five billion, four hundred twenty-three million, three hundred thousand, three".

Divisors: 1 3 7 19 21 29 31 57 83 87 93 133 203 217 249 399 551 581 589 609 651 899 1577 1653 1743 1767 2407 2573 2697 3541 3857 4123 4731 6293 7221 7719 10623 11039 11571 12369 16849 17081 18011 18879 24787 33117 45733 48887 50547 51243 54033 67279 74361 74617 102689 109771 119567 137199 146661 201837 223851 293903 308067 320131 329313 342209 358701 470953 522319 718823 768397 881709 960393 1026627 1412859 1417723 1566957 1951091 2057321 2085649 2156469 2305191 3183359 4253169 5584157 5853273 6171963 6256947 8523187 9110993 9550077 9924061 13657637 14599543 16752471 22283513 25569561 27332979 29772183 39089099 40972911 43798629 59662309 60483821 63776951 66850539 117267297 161940553 173108867 178986927 181451463 191330853 264218797 423386747 485821659 519326601 792656391 1133583871 1211762069 1270160241 1849531579 3400751613 3635286207 5020157143 5548594737 15060471429 35141100001 105423300003