102372098400 has 1728 divisors, whose sum is σ = 460815505920. Its totient is φ = 21745152000.

The previous prime is 102372098347. The next prime is 102372098407. The reversal of 102372098400 is 4890273201.

102372098400 is a `hidden beast` number, since 10 + 2 + 37 + 209 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102372098407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 781466335 + ... + 781466465.

It is an arithmetic number, because the mean of its divisors is an integer number (266675640).

Almost surely, 2^102372098400 is an apocalyptic number.

102372098400 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 102372098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230407752960).

102372098400 is an abundant number, since it is smaller than the sum of its proper divisors (358443407520).

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

102372098400 is a wasteful number, since it uses less digits than its factorization.

102372098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 102372098400 in words is "one hundred two billion, three hundred seventy-two million, ninety-eight thousand, four hundred".