100407072 has 24 divisors (see below), whose sum is σ = 263568816. Its totient is φ = 33468992.

The previous prime is 100407061. The next prime is 100407079. The reversal of 100407072 is 270704001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×100407072² = 20163160215226368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100407079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 522858 + ... + 523049.

It is an arithmetic number, because the mean of its divisors is an integer number (10982034).

Almost surely, 2^100407072 is an apocalyptic number.

100407072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100407072 is an abundant number, since it is smaller than the sum of its proper divisors (163161744).

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

100407072 is a wasteful number, since it uses less digits than its factorization.

100407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045920 (or 1045912 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 100407072 is about 10020.3329286007. The cubic root of 100407072 is about 464.7878509646.

The spelling of 100407072 in words is "one hundred million, four hundred seven thousand, seventy-two".