107023680 has 140 divisors (see below), whose sum is σ = 380794260. Its totient is φ = 28532736.

The previous prime is 107023667. The next prime is 107023703. The reversal of 107023680 is 86320701.

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 58247424 = 6984^2 + 7632^2 .

It is a super-2 number, since 2×107023680² = 22908136161484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23856 + ... + 27984.

It is an arithmetic number, because the mean of its divisors is an integer number (2719959).

Almost surely, 2^107023680 is an apocalyptic number.

107023680 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 107023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190397130).

107023680 is an abundant number, since it is smaller than the sum of its proper divisors (273770580).

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

107023680 is an equidigital number, since it uses as much as digits as its factorization.

107023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107023680 is about 10345.2249854703. The cubic root of 107023680 is about 474.7809590257.

The spelling of 107023680 in words is "one hundred seven million, twenty-three thousand, six hundred eighty".