100636272 has 60 divisors (see below), whose sum is σ = 307250424. Its totient is φ = 30495360.

The previous prime is 100636271. The next prime is 100636303. The reversal of 100636272 is 272636001.

It is a happy number.

100636272 is a `hidden beast` number, since 1 + 0 + 0 + 636 + 27 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100636271) 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 11 ways as a sum of consecutive naturals, for example, 30183 + ... + 33350.

Almost surely, 2^100636272 is an apocalyptic number.

100636272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100636272 is an abundant number, since it is smaller than the sum of its proper divisors (206614152).

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

100636272 is a wasteful number, since it uses less digits than its factorization.

100636272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63558 (or 63549 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 100636272 is about 10031.7631550989. The cubic root of 100636272 is about 465.1412404802.

The spelling of 100636272 in words is "one hundred million, six hundred thirty-six thousand, two hundred seventy-two".