102188400 has 240 divisors, whose sum is σ = 351310848. Its totient is φ = 25344000.

The previous prime is 102188381. The next prime is 102188459. The reversal of 102188400 is 4881201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1525167 + ... + 1525233.

Almost surely, 2^102188400 is an apocalyptic number.

102188400 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 102188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175655424).

102188400 is an abundant number, since it is smaller than the sum of its proper divisors (249122448).

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

102188400 is a wasteful number, since it uses less digits than its factorization.

102188400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 102188400 is about 10108.8278252229. The cubic root of 102188400 is about 467.5203647701.

The spelling of 102188400 in words is "one hundred two million, one hundred eighty-eight thousand, four hundred".