105155135532 has 72 divisors (see below), whose sum is σ = 268397687376. Its totient is φ = 34710580224.

The previous prime is 105155135521. The next prime is 105155135549. The reversal of 105155135532 is 235531551501.

105155135532 is a `hidden beast` number, since 1 + 0 + 51 + 5 + 51 + 3 + 553 + 2 = 666.

It is a super-2 number, since 2×105155135532² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16548868 + ... + 16555220.

It is an arithmetic number, because the mean of its divisors is an integer number (3727745658).

Almost surely, 2^105155135532 is an apocalyptic number.

105155135532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105155135532 is an abundant number, since it is smaller than the sum of its proper divisors (163242551844).

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

105155135532 is a wasteful number, since it uses less digits than its factorization.

105155135532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10767 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 105155135532 in words is "one hundred five billion, one hundred fifty-five million, one hundred thirty-five thousand, five hundred thirty-two".