107617680 has 80 divisors (see below), whose sum is σ = 370690560. Its totient is φ = 28697472.

The previous prime is 107617673. The next prime is 107617687. The reversal of 107617680 is 86716701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107617673) and next prime (107617687).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (107617687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22752 + ... + 27071.

It is an arithmetic number, because the mean of its divisors is an integer number (4633632).

Almost surely, 2^107617680 is an apocalyptic number.

107617680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107617680 is an abundant number, since it is smaller than the sum of its proper divisors (263072880).

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

107617680 is a wasteful number, since it uses less digits than its factorization.

107617680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49845 (or 49833 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107617680 is about 10373.8941579332. The cubic root of 107617680 is about 475.6577112217.

The spelling of 107617680 in words is "one hundred seven million, six hundred seventeen thousand, six hundred eighty".