105882372 has 36 divisors (see below), whose sum is σ = 267963696. Its totient is φ = 35252400.

The previous prime is 105882331. The next prime is 105882379. The reversal of 105882372 is 273288501.

105882372 is a `hidden beast` number, since 1 + 0 + 588 + 2 + 3 + 72 = 666.

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

It is a super-2 number, since 2×105882372² = 22422153400692768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105882379) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51223 + ... + 53249.

It is an arithmetic number, because the mean of its divisors is an integer number (7443436).

Almost surely, 2^105882372 is an apocalyptic number.

105882372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105882372 is an abundant number, since it is smaller than the sum of its proper divisors (162081324).

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

105882372 is a wasteful number, since it uses less digits than its factorization.

105882372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3483 counting only the distinct ones).

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

The square root of 105882372 is about 10289.9160346428. The cubic root of 105882372 is about 473.0872248767.

The spelling of 105882372 in words is "one hundred five million, eight hundred eighty-two thousand, three hundred seventy-two".