100972 has 6 divisors (see below), whose sum is σ = 176708. Its totient is φ = 50484.

The previous prime is 100957. The next prime is 100981. The reversal of 100972 is 279001.

It is a super-3 number, since 3×100972³ = 3088333060590144, which contains 333 as substring.

It is an unprimeable number.

100972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12618 + ... + 12625.

2¹⁰⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

100972 is a deficient number, since it is larger than the sum of its proper divisors (75736).

100972 is a wasteful number, since it uses less digits than its factorization.

100972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25247 (or 25245 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 100972 is about 317.7609164136. The cubic root of 100972 is about 46.5657911732.

Adding to 100972 its reverse (279001), we get a palindrome (379973).

It can be divided in two parts, 1009 and 72, that added together give a triangular number (1081 = T₄₆).

The spelling of 100972 in words is "one hundred thousand, nine hundred seventy-two".