107024938968 has 128 divisors (see below), whose sum is σ = 283489113600. Its totient is φ = 33601852416.

The previous prime is 107024938949. The next prime is 107024938981. The reversal of 107024938968 is 869839420701.

It is a super-2 number, since 2×107024938968² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14519988 + ... + 14527356.

It is an arithmetic number, because the mean of its divisors is an integer number (2214758700).

Almost surely, 2^107024938968 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 107024938968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141744556800).

107024938968 is an abundant number, since it is smaller than the sum of its proper divisors (176464174632).

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

107024938968 is a wasteful number, since it uses less digits than its factorization.

107024938968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7801 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 107024938968 in words is "one hundred seven billion, twenty-four million, nine hundred thirty-eight thousand, nine hundred sixty-eight".