107059680 has 576 divisors, whose sum is σ = 484323840. Its totient is φ = 20901888.

The previous prime is 107059679. The next prime is 107059739. The reversal of 107059680 is 86950701.

It is a super-2 number, since 2×107059680² = 22923550163404800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489739 + ... + 2489781.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^107059680 is an apocalyptic number.

107059680 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 107059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

107059680 is an abundant number, since it is smaller than the sum of its proper divisors (377264160).

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

107059680 is a wasteful number, since it uses less digits than its factorization.

107059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 107059680 is about 10346.9647723378. The cubic root of 107059680 is about 474.8341877393.

The spelling of 107059680 in words is "one hundred seven million, fifty-nine thousand, six hundred eighty".