107980980 has 96 divisors (see below), whose sum is σ = 310896768. Its totient is φ = 27993600.

The previous prime is 107980979. The next prime is 107980987. The reversal of 107980980 is 89089701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107980987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596490 + ... + 596670.

It is an arithmetic number, because the mean of its divisors is an integer number (3238508).

Almost surely, 2^107980980 is an apocalyptic number.

107980980 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 107980980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155448384).

107980980 is an abundant number, since it is smaller than the sum of its proper divisors (202915788).

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

107980980 is a wasteful number, since it uses less digits than its factorization.

107980980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 107980980 is about 10391.3897049432. The cubic root of 107980980 is about 476.1923580529.

The spelling of 107980980 in words is "one hundred seven million, nine hundred eighty thousand, nine hundred eighty".