107096670720 has 1920 divisors, whose sum is σ = 472942229760. Its totient is φ = 22932357120.

The previous prime is 107096670697. The next prime is 107096670749. The reversal of 107096670720 is 27076690701.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×107096670720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2612113900 + ... + 2612113940.

It is an arithmetic number, because the mean of its divisors is an integer number (246324078).

Almost surely, 2^107096670720 is an apocalyptic number.

107096670720 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 107096670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236471114880).

107096670720 is an abundant number, since it is smaller than the sum of its proper divisors (365845559040).

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

107096670720 is a wasteful number, since it uses less digits than its factorization.

107096670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 107096670720 in words is "one hundred seven billion, ninety-six million, six hundred seventy thousand, seven hundred twenty".