102046370400 has 1152 divisors, whose sum is σ = 432572313600. Its totient is φ = 22992076800.

The previous prime is 102046370347. The next prime is 102046370417. The reversal of 102046370400 is 4073640201.

102046370400 is a `hidden beast` number, since 1 + 0 + 20 + 4 + 637 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165390892 + ... + 165391508.

It is an arithmetic number, because the mean of its divisors is an integer number (375496800).

Almost surely, 2^102046370400 is an apocalyptic number.

102046370400 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 102046370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216286156800).

102046370400 is an abundant number, since it is smaller than the sum of its proper divisors (330525943200).

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

102046370400 is a wasteful number, since it uses less digits than its factorization.

102046370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 102046370400 in words is "one hundred two billion, forty-six million, three hundred seventy thousand, four hundred".