100680980 has 24 divisors (see below), whose sum is σ = 211989960. Its totient is φ = 40165760.

The previous prime is 100680947. The next prime is 100680989. The reversal of 100680980 is 89086001.

It can be written as a sum of positive squares in 4 ways, for example, as 9821956 + 90859024 = 3134^2 + 9532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100680989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1310 + ... + 14250.

It is an arithmetic number, because the mean of its divisors is an integer number (8832915).

Almost surely, 2^100680980 is an apocalyptic number.

100680980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100680980 is an abundant number, since it is smaller than the sum of its proper divisors (111308980).

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

100680980 is a wasteful number, since it uses less digits than its factorization.

100680980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13339 (or 13337 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 100680980 is about 10033.9912298148. The cubic root of 100680980 is about 465.2101104659.

The spelling of 100680980 in words is "one hundred million, six hundred eighty thousand, nine hundred eighty".