105882672 has 40 divisors (see below), whose sum is σ = 312606976. Its totient is φ = 30252096.

The previous prime is 105882671. The next prime is 105882691. The reversal of 105882672 is 276288501.

It is a super-2 number, since 2×105882672² = 22422280459719168, 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 105882672.

It is not an unprimeable number, because it can be changed into a prime (105882671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157228 + ... + 157899.

Almost surely, 2^105882672 is an apocalyptic number.

105882672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105882672 is an abundant number, since it is smaller than the sum of its proper divisors (206724304).

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

105882672 is a wasteful number, since it uses less digits than its factorization.

105882672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315145 (or 315139 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 105882672 is about 10289.9306120109. The cubic root of 105882672 is about 473.0876716808.

The spelling of 105882672 in words is "one hundred five million, eight hundred eighty-two thousand, six hundred seventy-two".