102072979800 has 288 divisors, whose sum is σ = 376264399680. Its totient is φ = 24592377600.

The previous prime is 102072979763. The next prime is 102072979819. The reversal of 102072979800 is 8979270201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3211587 + ... + 3243213.

It is an arithmetic number, because the mean of its divisors is an integer number (1306473610).

Almost surely, 2^102072979800 is an apocalyptic number.

102072979800 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 102072979800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188132199840).

102072979800 is an abundant number, since it is smaller than the sum of its proper divisors (274191419880).

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

102072979800 is a wasteful number, since it uses less digits than its factorization.

102072979800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31823 (or 31811 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 102072979800 in words is "one hundred two billion, seventy-two million, nine hundred seventy-nine thousand, eight hundred".