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1050106104 = 2332411272801
BaseRepresentation
bin111110100101110…
…101100011111000
32201011221220202200
4332211311203320
54122311343404
6252111230200
735010516555
oct7645654370
92634856680
101050106104
11499837293
12253818360
13139731978
149d671a2c
15622cc839
hex3e9758f8

1050106104 has 96 divisors (see below), whose sum is σ = 2937392640. Its totient is φ = 338688000.

The previous prime is 1050106103. The next prime is 1050106111. The reversal of 1050106104 is 4016010501.

1050106104 is a `hidden beast` number, since 1 + 0 + 50 + 1 + 0 + 610 + 4 = 666.

It is a super-3 number, since 3×10501061043 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050106103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373504 + ... + 376304.

It is an arithmetic number, because the mean of its divisors is an integer number (30597840).

Almost surely, 21050106104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050106104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468696320).

1050106104 is an abundant number, since it is smaller than the sum of its proper divisors (1887286536).

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

1050106104 is a wasteful number, since it uses less digits than its factorization.

1050106104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1050106104 is about 32405.3406709450. The cubic root of 1050106104 is about 1016.4305917630.

Adding to 1050106104 its reverse (4016010501), we get a palindrome (5066116605).

The spelling of 1050106104 in words is "one billion, fifty million, one hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 127 164 246 254 328 369 381 492 508 738 762 984 1016 1143 1476 1524 2286 2801 2952 3048 4572 5207 5602 8403 9144 10414 11204 15621 16806 20828 22408 25209 31242 33612 41656 46863 50418 62484 67224 93726 100836 114841 124968 187452 201672 229682 344523 355727 374904 459364 689046 711454 918728 1033569 1067181 1378092 1422908 2067138 2134362 2756184 2845816 3201543 4134276 4268724 6403086 8268552 8537448 12806172 14584807 25612344 29169614 43754421 58339228 87508842 116678456 131263263 175017684 262526526 350035368 525053052 1050106104