102314133442400 has 72 divisors (see below), whose sum is σ = 272481139950264. Its totient is φ = 37205139430400.

The previous prime is 102314133442363. The next prime is 102314133442403. The reversal of 102314133442400 is 4244331413201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102314133442403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5813294237 + ... + 5813311836.

It is an arithmetic number, because the mean of its divisors is an integer number (3784460277087).

Almost surely, 2^{102314133442400} is an apocalyptic number.

102314133442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102314133442400 is an abundant number, since it is smaller than the sum of its proper divisors (170167006507864).

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

102314133442400 is a wasteful number, since it uses less digits than its factorization.

102314133442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11626606104 (or 11626606091 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 102314133442400 its reverse (4244331413201), we get a palindrome (106558464855601).

The spelling of 102314133442400 in words is "one hundred two trillion, three hundred fourteen billion, one hundred thirty-three million, four hundred forty-two thousand, four hundred".