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105021512 = 23171997419
BaseRepresentation
bin1100100001010…
…00000001001000
321022121122102122
412100220001020
5203341142022
614230550412
72413445111
oct620500110
9238548378
10105021512
1154311242
122b208408
13189b130b
14dd3b208
159347742
hex6428048

105021512 has 64 divisors (see below), whose sum is σ = 222264000. Its totient is φ = 46227456.

The previous prime is 105021509. The next prime is 105021571. The reversal of 105021512 is 215120501.

It is a super-2 number, since 2×1050215122 = 22059035965532288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250439 + ... + 250857.

It is an arithmetic number, because the mean of its divisors is an integer number (3472875).

Almost surely, 2105021512 is an apocalyptic number.

It is an amenable number.

105021512 is an abundant number, since it is smaller than the sum of its proper divisors (117242488).

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

105021512 is a wasteful number, since it uses less digits than its factorization.

105021512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 105021512 is about 10248.0003903201. Note that the first 3 decimals coincide. The cubic root of 105021512 is about 471.8016139373.

The spelling of 105021512 in words is "one hundred five million, twenty-one thousand, five hundred twelve".

Divisors: 1 2 4 8 17 19 34 38 68 76 97 136 152 194 323 388 419 646 776 838 1292 1649 1676 1843 2584 3298 3352 3686 6596 7123 7372 7961 13192 14246 14744 15922 28492 31331 31844 40643 56984 62662 63688 81286 125324 135337 162572 250648 270674 325144 541348 690931 772217 1082696 1381862 1544434 2763724 3088868 5527448 6177736 13127689 26255378 52510756 105021512