105872832 has 140 divisors (see below), whose sum is σ = 338196936. Its totient is φ = 32555520.

The previous prime is 105872831. The next prime is 105872839. The reversal of 105872832 is 238278501.

It is a super-2 number, since 2×105872832² = 22418113111400448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105872831) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66607 + ... + 68177.

Almost surely, 2^105872832 is an apocalyptic number.

105872832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169098468).

105872832 is an abundant number, since it is smaller than the sum of its proper divisors (232324104).

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

105872832 is a wasteful number, since it uses less digits than its factorization.

105872832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 105872832 is about 10289.4524635668. The cubic root of 105872832 is about 473.0730160662.

The spelling of 105872832 in words is "one hundred five million, eight hundred seventy-two thousand, eight hundred thirty-two".