107869080 has 384 divisors, whose sum is σ = 413683200. Its totient is φ = 22302720.

The previous prime is 107869079. The next prime is 107869081. The reversal of 107869080 is 80968701.

It is an interprime number because it is at equal distance from previous prime (107869079) and next prime (107869081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107869081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4689949 + ... + 4689971.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^107869080 is an apocalyptic number.

107869080 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 107869080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

107869080 is an abundant number, since it is smaller than the sum of its proper divisors (305814120).

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

107869080 is a wasteful number, since it uses less digits than its factorization.

107869080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 107869080 is about 10386.0040439045. The cubic root of 107869080 is about 476.0278094997.

The spelling of 107869080 in words is "one hundred seven million, eight hundred sixty-nine thousand, eighty".