102113510400 has 792 divisors, whose sum is σ = 408563579424. Its totient is φ = 24153292800.

The previous prime is 102113510393. The next prime is 102113510413. The reversal of 102113510400 is 4015311201.

102113510400 is a `hidden beast` number, since 1 + 0 + 2 + 113 + 510 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108978732 + ... + 108979668.

Almost surely, 2^102113510400 is an apocalyptic number.

102113510400 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 102113510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204281789712).

102113510400 is an abundant number, since it is smaller than the sum of its proper divisors (306450069024).

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

102113510400 is a wasteful number, since it uses less digits than its factorization.

102113510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 102113510400 its reverse (4015311201), we get a palindrome (106128821601).

The spelling of 102113510400 in words is "one hundred two billion, one hundred thirteen million, five hundred ten thousand, four hundred".