105031013652 has 36 divisors (see below), whose sum is σ = 265526089920. Its totient is φ = 35006246352.

The previous prime is 105031013641. The next prime is 105031013671. The reversal of 105031013652 is 256310130501.

105031013652 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 3 + 1 + 0 + 1 + 3 + 652 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105031013652² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 150099 + ... + 482277.

It is an arithmetic number, because the mean of its divisors is an integer number (7375724720).

Almost surely, 2^105031013652 is an apocalyptic number.

105031013652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105031013652 is an abundant number, since it is smaller than the sum of its proper divisors (160495076268).

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

105031013652 is a wasteful number, since it uses less digits than its factorization.

105031013652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340972 (or 340967 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 105031013652 in words is "one hundred five billion, thirty-one million, thirteen thousand, six hundred fifty-two".