102374400 has 264 divisors, whose sum is σ = 357389824. Its totient is φ = 25804800.

The previous prime is 102374383. The next prime is 102374477. The reversal of 102374400 is 4473201.

It is a hoax number, since the sum of its digits (21) 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, 2380779 + ... + 2380821.

Almost surely, 2^102374400 is an apocalyptic number.

102374400 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 102374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178694912).

102374400 is an abundant number, since it is smaller than the sum of its proper divisors (255015424).

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

102374400 is a wasteful number, since it uses less digits than its factorization.

102374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 102374400 is about 10118.0235224079. The cubic root of 102374400 is about 467.8038479615.

The spelling of 102374400 in words is "one hundred two million, three hundred seventy-four thousand, four hundred".