102152400 has 120 divisors (see below), whose sum is σ = 374005824. Its totient is φ = 23347200.

The previous prime is 102152387. The next prime is 102152411. The reversal of 102152400 is 4251201.

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

It is a super-2 number, since 2×102152400² = 20870225651520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102152400.

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, 2320 + ... + 14480.

Almost surely, 2^102152400 is an apocalyptic number.

102152400 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 102152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187002912).

102152400 is an abundant number, since it is smaller than the sum of its proper divisors (271853424).

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

102152400 is a wasteful number, since it uses less digits than its factorization.

102152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12189 (or 12178 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 102152400 is about 10107.0470464919. The cubic root of 102152400 is about 467.4654573313.

The spelling of 102152400 in words is "one hundred two million, one hundred fifty-two thousand, four hundred".