102372480 has 192 divisors, whose sum is σ = 404164800. Its totient is φ = 23390208.

The previous prime is 102372469. The next prime is 102372497. The reversal of 102372480 is 84273201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×102372480² = 20960249322700800, which contains 22 as substring.

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, 39051 + ... + 41589.

It is an arithmetic number, because the mean of its divisors is an integer number (2105025).

Almost surely, 2^102372480 is an apocalyptic number.

102372480 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 102372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202082400).

102372480 is an abundant number, since it is smaller than the sum of its proper divisors (301792320).

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

102372480 is a wasteful number, since it uses less digits than its factorization.

102372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 102372480 is about 10117.9286417725. The cubic root of 102372480 is about 467.8009234381.

The spelling of 102372480 in words is "one hundred two million, three hundred seventy-two thousand, four hundred eighty".