100506672 has 60 divisors (see below), whose sum is σ = 321465040. Its totient is φ = 28715904.

The previous prime is 100506667. The next prime is 100506697. The reversal of 100506672 is 276605001.

It is a super-2 number, since 2×100506672² = 20203182233031168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48847 + ... + 50862.

Almost surely, 2^100506672 is an apocalyptic number.

100506672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100506672 is an abundant number, since it is smaller than the sum of its proper divisors (220958368).

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

100506672 is a wasteful number, since it uses less digits than its factorization.

100506672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99730 (or 99721 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 100506672 is about 10025.3015914734. The cubic root of 100506672 is about 464.9414841385.

The spelling of 100506672 in words is "one hundred million, five hundred six thousand, six hundred seventy-two".