102415104000 has 960 divisors, whose sum is σ = 417404988000. Its totient is φ = 24772608000.

The previous prime is 102415103969. The next prime is 102415104013. The reversal of 102415104000 is 401514201.

102415104000 is a `hidden beast` number, since 10 + 241 + 5 + 10 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228095776 + ... + 228096224.

Almost surely, 2^102415104000 is an apocalyptic number.

102415104000 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 102415104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208702494000).

102415104000 is an abundant number, since it is smaller than the sum of its proper divisors (314989884000).

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

102415104000 is an equidigital number, since it uses as much as digits as its factorization.

102415104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 102415104000 its reverse (401514201), we get a palindrome (102816618201).

The spelling of 102415104000 in words is "one hundred two billion, four hundred fifteen million, one hundred four thousand".