108680040 has 288 divisors, whose sum is σ = 421747560. Its totient is φ = 24192000.

The previous prime is 108680009. The next prime is 108680059. The reversal of 108680040 is 40086801.

It can be written as a sum of positive squares in 4 ways, for example, as 86155524 + 22524516 = 9282^2 + 4746^2 .

It is a super-2 number, since 2×108680040² = 23622702188803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108679986 and 108680013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1075990 + ... + 1076090.

Almost surely, 2^108680040 is an apocalyptic number.

108680040 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 108680040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210873780).

108680040 is an abundant number, since it is smaller than the sum of its proper divisors (313067520).

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

108680040 is a wasteful number, since it uses less digits than its factorization.

108680040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108680040 is about 10424.9719424083. The cubic root of 108680040 is about 477.2177585178.

The spelling of 108680040 in words is "one hundred eight million, six hundred eighty thousand, forty".