102725976800 has 36 divisors (see below), whose sum is σ = 250779792816. Its totient is φ = 41090390400.

The previous prime is 102725976767. The next prime is 102725976803. The reversal of 102725976800 is 8679527201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102725976803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64202936 + ... + 64204535.

It is an arithmetic number, because the mean of its divisors is an integer number (6966105356).

Almost surely, 2^102725976800 is an apocalyptic number.

102725976800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102725976800 is an abundant number, since it is smaller than the sum of its proper divisors (148053816016).

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

102725976800 is a wasteful number, since it uses less digits than its factorization.

102725976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128407491 (or 128407478 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 102725976800 in words is "one hundred two billion, seven hundred twenty-five million, nine hundred seventy-six thousand, eight hundred".