100456572 has 48 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 31627008.

The previous prime is 100456561. The next prime is 100456579. The reversal of 100456572 is 275654001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100456579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134833 + ... + 135575.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^100456572 is an apocalyptic number.

100456572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100456572 is an abundant number, since it is smaller than the sum of its proper divisors (147027588).

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

100456572 is a wasteful number, since it uses less digits than its factorization.

100456572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 100456572 is about 10022.8026020669. The cubic root of 100456572 is about 464.8642174942.

The spelling of 100456572 in words is "one hundred million, four hundred fifty-six thousand, five hundred seventy-two".