107127879936 has 432 divisors, whose sum is σ = 364651398720. Its totient is φ = 27607695360.

The previous prime is 107127879931. The next prime is 107127880001. The reversal of 107127879936 is 639978721701.

It is a super-2 number, since 2×107127879936² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107127879936.

It is not an unprimeable number, because it can be changed into a prime (107127879931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56710480 + ... + 56712368.

It is an arithmetic number, because the mean of its divisors is an integer number (844100460).

Almost surely, 2^107127879936 is an apocalyptic number.

107127879936 is a gapful number since it is divisible by the number (16) 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 107127879936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182325699360).

107127879936 is an abundant number, since it is smaller than the sum of its proper divisors (257523518784).

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

107127879936 is a wasteful number, since it uses less digits than its factorization.

107127879936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 60.

The spelling of 107127879936 in words is "one hundred seven billion, one hundred twenty-seven million, eight hundred seventy-nine thousand, nine hundred thirty-six".