102172630720 has 224 divisors, whose sum is σ = 263241861120. Its totient is φ = 37649756160.

The previous prime is 102172630711. The next prime is 102172630751. The reversal of 102172630720 is 27036271201.

102172630720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47720850 + ... + 47722990.

It is an arithmetic number, because the mean of its divisors is an integer number (1175186880).

Almost surely, 2^102172630720 is an apocalyptic number.

102172630720 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 102172630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131620930560).

102172630720 is an abundant number, since it is smaller than the sum of its proper divisors (161069230400).

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

102172630720 is a wasteful number, since it uses less digits than its factorization.

102172630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The spelling of 102172630720 in words is "one hundred two billion, one hundred seventy-two million, six hundred thirty thousand, seven hundred twenty".