102505478400 has 432 divisors, whose sum is σ = 404799646720. Its totient is φ = 25231564800.

The previous prime is 102505478213. The next prime is 102505478431. The reversal of 102505478400 is 4874505201.

102505478400 is a `hidden beast` number, since 10 + 25 + 0 + 547 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 2223585 + ... + 2269215.

Almost surely, 2^102505478400 is an apocalyptic number.

102505478400 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 102505478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202399823360).

102505478400 is an abundant number, since it is smaller than the sum of its proper divisors (302294168320).

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

102505478400 is a wasteful number, since it uses less digits than its factorization.

102505478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45679 (or 45654 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 102505478400 in words is "one hundred two billion, five hundred five million, four hundred seventy-eight thousand, four hundred".