107866080 has 480 divisors, whose sum is σ = 461039040. Its totient is φ = 23224320.

The previous prime is 107866061. The next prime is 107866093. The reversal of 107866080 is 80668701.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2630860 + ... + 2630900.

It is an arithmetic number, because the mean of its divisors is an integer number (960498).

Almost surely, 2^107866080 is an apocalyptic number.

107866080 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 107866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

107866080 is an abundant number, since it is smaller than the sum of its proper divisors (353172960).

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

107866080 is a wasteful number, since it uses less digits than its factorization.

107866080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 107866080 is about 10385.8596177688. The cubic root of 107866080 is about 476.0233964443.

The spelling of 107866080 in words is "one hundred seven million, eight hundred sixty-six thousand, eighty".