107235907968 has 128 divisors (see below), whose sum is σ = 328419371520. Its totient is φ = 30367604736.

The previous prime is 107235907967. The next prime is 107235907981. The reversal of 107235907968 is 869709532701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×107235907968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107235907967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127221 + ... + 480267.

It is an arithmetic number, because the mean of its divisors is an integer number (2565776340).

Almost surely, 2^107235907968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107235907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164209685760).

107235907968 is an abundant number, since it is smaller than the sum of its proper divisors (221183463552).

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

107235907968 is a wasteful number, since it uses less digits than its factorization.

107235907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353184 (or 353172 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 107235907968 in words is "one hundred seven billion, two hundred thirty-five million, nine hundred seven thousand, nine hundred sixty-eight".