105535166532 has 96 divisors (see below), whose sum is σ = 255606140160. Its totient is φ = 33866004480.

The previous prime is 105535166449. The next prime is 105535166579. The reversal of 105535166532 is 235661535501.

It is a super-2 number, since 2×105535166532² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24387753 + ... + 24392079.

It is an arithmetic number, because the mean of its divisors is an integer number (2662563960).

Almost surely, 2^105535166532 is an apocalyptic number.

105535166532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105535166532 is an abundant number, since it is smaller than the sum of its proper divisors (150070973628).

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

105535166532 is a wasteful number, since it uses less digits than its factorization.

105535166532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 105535166532 in words is "one hundred five billion, five hundred thirty-five million, one hundred sixty-six thousand, five hundred thirty-two".