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105020616 = 23313931481
BaseRepresentation
bin1100100001001…
…11110011001000
321022121121012110
412100213303020
5203341124431
614230542320
72413442361
oct620476310
9238547173
10105020616
11543105a8
122b2079a0
13189b0a9c
14dd3ab68
159347346
hex6427cc8

105020616 has 32 divisors (see below), whose sum is σ = 264448800. Its totient is φ = 34753920.

The previous prime is 105020603. The next prime is 105020627. The reversal of 105020616 is 616020501.

It is a happy number.

It is a super-2 number, since 2×1050206162 = 22058659570038912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105020592 and 105020601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12405 + ... + 19076.

It is an arithmetic number, because the mean of its divisors is an integer number (8264025).

Almost surely, 2105020616 is an apocalyptic number.

It is an amenable number.

105020616 is an abundant number, since it is smaller than the sum of its proper divisors (159428184).

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

105020616 is a wasteful number, since it uses less digits than its factorization.

105020616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31629 (or 31625 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105020616 is about 10247.9566743815. The cubic root of 105020616 is about 471.8002721949.

The spelling of 105020616 in words is "one hundred five million, twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 139 278 417 556 834 1112 1668 3336 31481 62962 94443 125924 188886 251848 377772 755544 4375859 8751718 13127577 17503436 26255154 35006872 52510308 105020616