105214645152 has 72 divisors (see below), whose sum is σ = 304849552644. Its totient is φ = 34409816064.

The previous prime is 105214645139. The next prime is 105214645169. The reversal of 105214645152 is 251546412501.

105214645152 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 1 + 4 + 645 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98071690896 + 7142954256 = 313164^2 + 84516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105214645152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3431233 + ... + 3461760.

Almost surely, 2^105214645152 is an apocalyptic number.

105214645152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105214645152 is an abundant number, since it is smaller than the sum of its proper divisors (199634907492).

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

105214645152 is a wasteful number, since it uses less digits than its factorization.

105214645152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893062 (or 6893051 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 105214645152 in words is "one hundred five billion, two hundred fourteen million, six hundred forty-five thousand, one hundred fifty-two".