100492872 has 32 divisors (see below), whose sum is σ = 251510400. Its totient is φ = 33460544.

The previous prime is 100492867. The next prime is 100492883. The reversal of 100492872 is 278294001.

It is a happy number.

It is a super-4 number, since 4×100492872⁴ (a number of 33 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27793 + ... + 31199.

It is an arithmetic number, because the mean of its divisors is an integer number (7859700).

Almost surely, 2^100492872 is an apocalyptic number.

100492872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100492872 is an abundant number, since it is smaller than the sum of its proper divisors (151017528).

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

100492872 is a wasteful number, since it uses less digits than its factorization.

100492872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 100492872 is about 10024.6133092504. The cubic root of 100492872 is about 464.9202036735.

It can be divided in two parts, 10049 and 2872, that added together give a palindrome (12921).

The spelling of 100492872 in words is "one hundred million, four hundred ninety-two thousand, eight hundred seventy-two".