101980980 has 72 divisors (see below), whose sum is σ = 325634400. Its totient is φ = 25762752.

The previous prime is 101980973. The next prime is 101980987. The reversal of 101980980 is 89089101.

It is an interprime number because it is at equal distance from previous prime (101980973) and next prime (101980987).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101980987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11490 + ... + 18329.

It is an arithmetic number, because the mean of its divisors is an integer number (4522700).

Almost surely, 2^101980980 is an apocalyptic number.

101980980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101980980 is an abundant number, since it is smaller than the sum of its proper divisors (223653420).

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

101980980 is a wasteful number, since it uses less digits than its factorization.

101980980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29853 (or 29848 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 101980980 is about 10098.5632641480. The cubic root of 101980980 is about 467.2038293006.

The spelling of 101980980 in words is "one hundred one million, nine hundred eighty thousand, nine hundred eighty".