102400114400 has 72 divisors (see below), whose sum is σ = 254082503304. Its totient is φ = 40288550400.

The previous prime is 102400114391. The next prime is 102400114417. The reversal of 102400114400 is 4411004201.

102400114400 is a modest number, since divided by 114400 gives 102400 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000382 + ... + 1097981.

It is an arithmetic number, because the mean of its divisors is an integer number (3528923657).

Almost surely, 2^102400114400 is an apocalyptic number.

102400114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102400114400 is an abundant number, since it is smaller than the sum of its proper divisors (151682388904).

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

102400114400 is a wasteful number, since it uses less digits than its factorization.

102400114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098444 (or 2098431 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102400114400 its reverse (4411004201), we get a palindrome (106811118601).

The spelling of 102400114400 in words is "one hundred two billion, four hundred million, one hundred fourteen thousand, four hundred".