107083320 has 128 divisors (see below), whose sum is σ = 332424000. Its totient is φ = 27582464.

The previous prime is 107083313. The next prime is 107083337. The reversal of 107083320 is 23380701.

It is a super-2 number, since 2×107083320² = 22933674844444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718606 + ... + 718754.

Almost surely, 2^107083320 is an apocalyptic number.

107083320 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 107083320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166212000).

107083320 is an abundant number, since it is smaller than the sum of its proper divisors (225340680).

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

107083320 is a wasteful number, since it uses less digits than its factorization.

107083320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 107083320 is about 10348.1070732767. The cubic root of 107083320 is about 474.8691347710.

It can be divided in two parts, 10708 and 3320, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 107083320 in words is "one hundred seven million, eighty-three thousand, three hundred twenty".