102378475929600 has 4050 divisors, whose sum is σ = 446698073204460. Its totient is φ = 23104349798400.

The previous prime is 102378475929599. The next prime is 102378475929659. The reversal of 102378475929600 is 6929574873201.

102378475929600 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 78 + 475 + 9 + 2 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4050).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 3302531481585 + ... + 3302531481615.

It is a 1-persistent number, because it is pandigital, but 2⋅102378475929600 = 204756951859200 is not.

Almost surely, 2^{102378475929600} is an apocalyptic number.

102378475929600 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 102378475929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223349036602230).

102378475929600 is an abundant number, since it is smaller than the sum of its proper divisors (344319597274860).

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

102378475929600 is an equidigital number, since it uses as much as digits as its factorization.

102378475929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 102378475929600 in words is "one hundred two trillion, three hundred seventy-eight billion, four hundred seventy-five million, nine hundred twenty-nine thousand, six hundred".