107012680320 has 256 divisors, whose sum is σ = 419819662080. Its totient is φ = 22578462720.

The previous prime is 107012680301. The next prime is 107012680339. The reversal of 107012680320 is 23086210701.

It is an interprime number because it is at equal distance from previous prime (107012680301) and next prime (107012680339).

It is a super-2 number, since 2×107012680320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 131521 + ... + 480960.

It is an arithmetic number, because the mean of its divisors is an integer number (1639920555).

Almost surely, 2^107012680320 is an apocalyptic number.

107012680320 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 107012680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209909831040).

107012680320 is an abundant number, since it is smaller than the sum of its proper divisors (312806981760).

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

107012680320 is a wasteful number, since it uses less digits than its factorization.

107012680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612523 (or 612511 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 107012680320 in words is "one hundred seven billion, twelve million, six hundred eighty thousand, three hundred twenty".