102472920 has 192 divisors, whose sum is σ = 368128800. Its totient is φ = 24514560.

The previous prime is 102472919. The next prime is 102472939. The reversal of 102472920 is 29274201.

102472920 is a `hidden beast` number, since 102 + 472 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447366 + ... + 447594.

Almost surely, 2^102472920 is an apocalyptic number.

102472920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102472920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184064400).

102472920 is an abundant number, since it is smaller than the sum of its proper divisors (265655880).

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

102472920 is a wasteful number, since it uses less digits than its factorization.

102472920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

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

The square root of 102472920 is about 10122.8908914401. The cubic root of 102472920 is about 467.9538635212.

The spelling of 102472920 in words is "one hundred two million, four hundred seventy-two thousand, nine hundred twenty".