102972240 has 120 divisors (see below), whose sum is σ = 395236608. Its totient is φ = 23535360.

The previous prime is 102972239. The next prime is 102972299. The reversal of 102972240 is 42279201.

It is a tau number, because it is divible by the number of its divisors (120).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5176 + ... + 15255.

Almost surely, 2^102972240 is an apocalyptic number.

102972240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102972240 is an abundant number, since it is smaller than the sum of its proper divisors (292264368).

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

102972240 is a wasteful number, since it uses less digits than its factorization.

102972240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20457 (or 20448 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102972240 is about 10147.5238358922. The cubic root of 102972240 is about 468.7126988985.

The spelling of 102972240 in words is "one hundred two million, nine hundred seventy-two thousand, two hundred forty".