102660738600 has 384 divisors, whose sum is σ = 368916387840. Its totient is φ = 23131837440.

The previous prime is 102660738577. The next prime is 102660738613. The reversal of 102660738600 is 6837066201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132807814 + ... + 132808586.

It is an arithmetic number, because the mean of its divisors is an integer number (960719760).

Almost surely, 2^102660738600 is an apocalyptic number.

102660738600 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 102660738600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184458193920).

102660738600 is an abundant number, since it is smaller than the sum of its proper divisors (266255649240).

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

102660738600 is a wasteful number, since it uses less digits than its factorization.

102660738600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 102660738600 in words is "one hundred two billion, six hundred sixty million, seven hundred thirty-eight thousand, six hundred".