107290980 has 120 divisors (see below), whose sum is σ = 340372032. Its totient is φ = 28289088.

The previous prime is 107290979. The next prime is 107290999. The reversal of 107290980 is 89092701.

It is a happy number.

It is a super-2 number, since 2×107290980² = 23022708778720800, which contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 166539 + ... + 167181.

Almost surely, 2^107290980 is an apocalyptic number.

107290980 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 107290980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170186016).

107290980 is an abundant number, since it is smaller than the sum of its proper divisors (233081052).

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

107290980 is a wasteful number, since it uses less digits than its factorization.

107290980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 107290980 is about 10358.1359326860. The cubic root of 107290980 is about 475.1758979205.

The spelling of 107290980 in words is "one hundred seven million, two hundred ninety thousand, nine hundred eighty".