102679925400 has 960 divisors, whose sum is σ = 411373670400. Its totient is φ = 23525821440.

The previous prime is 102679925339. The next prime is 102679925401. The reversal of 102679925400 is 4529976201.

102679925400 is a `hidden beast` number, since 10 + 2 + 6 + 7 + 9 + 92 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102679925401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 268093609 + ... + 268093991.

It is an arithmetic number, because the mean of its divisors is an integer number (428514240).

Almost surely, 2^102679925400 is an apocalyptic number.

102679925400 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 102679925400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205686835200).

102679925400 is an abundant number, since it is smaller than the sum of its proper divisors (308693745000).

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

102679925400 is a wasteful number, since it uses less digits than its factorization.

102679925400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 102679925400 in words is "one hundred two billion, six hundred seventy-nine million, nine hundred twenty-five thousand, four hundred".