102814689163800 has 48 divisors (see below), whose sum is σ = 318725536409640. Its totient is φ = 27417250443520.

The previous prime is 102814689163777. The next prime is 102814689163807. The reversal of 102814689163800 is 8361986418201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102814689163807) 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, 85678907037 + ... + 85678908236.

Almost surely, 2^{102814689163800} is an apocalyptic number.

102814689163800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102814689163800 is an abundant number, since it is smaller than the sum of its proper divisors (215910847245840).

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

102814689163800 is a wasteful number, since it uses less digits than its factorization.

102814689163800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171357815292 (or 171357815283 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 102814689163800 in words is "one hundred two trillion, eight hundred fourteen billion, six hundred eighty-nine million, one hundred sixty-three thousand, eight hundred".