102494937600 has 1800 divisors, whose sum is σ = 449114431920. Its totient is φ = 22992076800.

The previous prime is 102494937599. The next prime is 102494937617. The reversal of 102494937600 is 6739494201.

It is a happy number.

102494937600 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 9 + 4 + 9 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2383603179 + ... + 2383603221.

Almost surely, 2^102494937600 is an apocalyptic number.

102494937600 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 102494937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224557215960).

102494937600 is an abundant number, since it is smaller than the sum of its proper divisors (346619494320).

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

102494937600 is a wasteful number, since it uses less digits than its factorization.

102494937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 102494937600 in words is "one hundred two billion, four hundred ninety-four million, nine hundred thirty-seven thousand, six hundred".