101632370980 has 144 divisors (see below), whose sum is σ = 259798565376. Its totient is φ = 33258677760.

The previous prime is 101632370963. The next prime is 101632371083. The reversal of 101632370980 is 89073236101.

It is a super-3 number, since 3×101632370980³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2194827 + ... + 2240653.

It is an arithmetic number, because the mean of its divisors is an integer number (1804156704).

Almost surely, 2^101632370980 is an apocalyptic number.

101632370980 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 101632370980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129899282688).

101632370980 is an abundant number, since it is smaller than the sum of its proper divisors (158166194396).

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

101632370980 is a wasteful number, since it uses less digits than its factorization.

101632370980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45954 (or 45945 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 101632370980 in words is "one hundred one billion, six hundred thirty-two million, three hundred seventy thousand, nine hundred eighty".