100605972 has 24 divisors (see below), whose sum is σ = 237965056. Its totient is φ = 33075648.

The previous prime is 100605961. The next prime is 100606013. The reversal of 100605972 is 279506001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 56548 + ... + 58299.

Almost surely, 2^100605972 is an apocalyptic number.

100605972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100605972 is an abundant number, since it is smaller than the sum of its proper divisors (137359084).

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

100605972 is a wasteful number, since it uses less digits than its factorization.

100605972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114927 (or 114925 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 100605972 is about 10030.2528382888. The cubic root of 100605972 is about 465.0945535551.

The spelling of 100605972 in words is "one hundred million, six hundred five thousand, nine hundred seventy-two".