107047410720 has 192 divisors, whose sum is σ = 341837967744. Its totient is φ = 28154470400.

The previous prime is 107047410719. The next prime is 107047410739. The reversal of 107047410720 is 27014740701.

It is a super-2 number, since 2×107047410720² (a number of 23 digits) contains 22 as substring.

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, 27925924 + ... + 27929756.

It is an arithmetic number, because the mean of its divisors is an integer number (1780406082).

Almost surely, 2^107047410720 is an apocalyptic number.

107047410720 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 107047410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170918983872).

107047410720 is an abundant number, since it is smaller than the sum of its proper divisors (234790557024).

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

107047410720 is a wasteful number, since it uses less digits than its factorization.

107047410720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The spelling of 107047410720 in words is "one hundred seven billion, forty-seven million, four hundred ten thousand, seven hundred twenty".