107707080 has 192 divisors, whose sum is σ = 360495360. Its totient is φ = 25718784.

The previous prime is 107707063. The next prime is 107707081. The reversal of 107707080 is 80707701.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (107707081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953104 + ... + 953216.

It is an arithmetic number, because the mean of its divisors is an integer number (1877580).

Almost surely, 2^107707080 is an apocalyptic number.

107707080 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 107707080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180247680).

107707080 is an abundant number, since it is smaller than the sum of its proper divisors (252788280).

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

107707080 is a wasteful number, since it uses less digits than its factorization.

107707080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 30.

The square root of 107707080 is about 10378.2021564431. The cubic root of 107707080 is about 475.7893873234.

The spelling of 107707080 in words is "one hundred seven million, seven hundred seven thousand, eighty".