107083680 has 192 divisors, whose sum is σ = 389950848. Its totient is φ = 24412160.

The previous prime is 107083673. The next prime is 107083681. The reversal of 107083680 is 86380701.

It is a super-2 number, since 2×107083680² = 22933829044684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (107083681) 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, 89164 + ... + 90356.

It is an arithmetic number, because the mean of its divisors is an integer number (2030994).

Almost surely, 2^107083680 is an apocalyptic number.

107083680 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 107083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194975424).

107083680 is an abundant number, since it is smaller than the sum of its proper divisors (282867168).

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

107083680 is a wasteful number, since it uses less digits than its factorization.

107083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 107083680 is about 10348.1244677478. The cubic root of 107083680 is about 474.8696669195.

It can be divided in two parts, 1070836 and 80, that added together give a triangular number (1070916 = T₁₄₆₃).

The spelling of 107083680 in words is "one hundred seven million, eighty-three thousand, six hundred eighty".