100587972 has 24 divisors (see below), whose sum is σ = 238012992. Its totient is φ = 33056800.

The previous prime is 100587959. The next prime is 100587989. The reversal of 100587972 is 279785001.

It is a super-2 number, since 2×100587972² = 20235880222145568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100587972.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58179 + ... + 59882.

It is an arithmetic number, because the mean of its divisors is an integer number (9917208).

Almost surely, 2^100587972 is an apocalyptic number.

100587972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100587972 is an abundant number, since it is smaller than the sum of its proper divisors (137425020).

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

100587972 is a wasteful number, since it uses less digits than its factorization.

100587972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118139 (or 118137 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 100587972 is about 10029.3555126937. The cubic root of 100587972 is about 465.0668143095.

The spelling of 100587972 in words is "one hundred million, five hundred eighty-seven thousand, nine hundred seventy-two".