107965980 has 192 divisors, whose sum is σ = 374976000. Its totient is φ = 25629696.

The previous prime is 107965919. The next prime is 107965981. The reversal of 107965980 is 89569701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107965981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174111 + ... + 174729.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^107965980 is an apocalyptic number.

107965980 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 107965980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

107965980 is an abundant number, since it is smaller than the sum of its proper divisors (267010020).

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

107965980 is a wasteful number, since it uses less digits than its factorization.

107965980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 107965980 is about 10390.6679284827. The cubic root of 107965980 is about 476.1703072061.

The spelling of 107965980 in words is "one hundred seven million, nine hundred sixty-five thousand, nine hundred eighty".