102114566400 has 1296 divisors, whose sum is σ = 448191313920. Its totient is φ = 19886899200.

The previous prime is 102114566381. The next prime is 102114566413. The reversal of 102114566400 is 4665411201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 427257481 + ... + 427257719.

Almost surely, 2^102114566400 is an apocalyptic number.

102114566400 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 102114566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224095656960).

102114566400 is an abundant number, since it is smaller than the sum of its proper divisors (346076747520).

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

102114566400 is a wasteful number, since it uses less digits than its factorization.

102114566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 102114566400 its reverse (4665411201), we get a palindrome (106779977601).

The spelling of 102114566400 in words is "one hundred two billion, one hundred fourteen million, five hundred sixty-six thousand, four hundred".