105813732 has 48 divisors (see below), whose sum is σ = 253919232. Its totient is φ = 34279200.

The previous prime is 105813713. The next prime is 105813737. The reversal of 105813732 is 237318501.

It is a super-2 number, since 2×105813732² = 22393091759535648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105813732.

It is not an unprimeable number, because it can be changed into a prime (105813737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91357 + ... + 92507.

It is an arithmetic number, because the mean of its divisors is an integer number (5289984).

Almost surely, 2^105813732 is an apocalyptic number.

105813732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105813732 is an abundant number, since it is smaller than the sum of its proper divisors (148105500).

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

105813732 is a wasteful number, since it uses less digits than its factorization.

105813732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105813732 is about 10286.5801897424. The cubic root of 105813732 is about 472.9849739039.

The spelling of 105813732 in words is "one hundred five million, eight hundred thirteen thousand, seven hundred thirty-two".