107065320000 has 560 divisors, whose sum is σ = 387124480512. Its totient is φ = 25989120000.

The previous prime is 107065319993. The next prime is 107065320001. The reversal of 107065320000 is 23560701.

It is a super-2 number, since 2×107065320000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107065320001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63239154 + ... + 63240846.

Almost surely, 2^107065320000 is an apocalyptic number.

107065320000 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 107065320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193562240256).

107065320000 is an abundant number, since it is smaller than the sum of its proper divisors (280059160512).

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

107065320000 is a wasteful number, since it uses less digits than its factorization.

107065320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

Adding to 107065320000 its reverse (23560701), we get a palindrome (107088880701).

The spelling of 107065320000 in words is "one hundred seven billion, sixty-five million, three hundred twenty thousand".