107356080 has 160 divisors (see below), whose sum is σ = 377475840. Its totient is φ = 25021440.

The previous prime is 107356027. The next prime is 107356087. The reversal of 107356080 is 80653701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107356087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58375 + ... + 60185.

It is an arithmetic number, because the mean of its divisors is an integer number (2359224).

Almost surely, 2^107356080 is an apocalyptic number.

107356080 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 107356080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188737920).

107356080 is an abundant number, since it is smaller than the sum of its proper divisors (270119760).

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

107356080 is a wasteful number, since it uses less digits than its factorization.

107356080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 107356080 is about 10361.2779134622. The cubic root of 107356080 is about 475.2719845830.

The spelling of 107356080 in words is "one hundred seven million, three hundred fifty-six thousand, eighty".