107811680 has 48 divisors (see below), whose sum is σ = 255712464. Its totient is φ = 42954240.

The previous prime is 107811679. The next prime is 107811701. The reversal of 107811680 is 86118701.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44090 + ... + 46470.

It is an arithmetic number, because the mean of its divisors is an integer number (5327343).

Almost surely, 2^107811680 is an apocalyptic number.

107811680 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 107811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127856232).

107811680 is an abundant number, since it is smaller than the sum of its proper divisors (147900784).

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

107811680 is a wasteful number, since it uses less digits than its factorization.

107811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The square root of 107811680 is about 10383.2403420127. The cubic root of 107811680 is about 475.9433588418.

The spelling of 107811680 in words is "one hundred seven million, eight hundred eleven thousand, six hundred eighty".