107869220928 has 756 divisors, whose sum is σ = 384633001116. Its totient is φ = 28798156800.

The previous prime is 107869220891. The next prime is 107869220939. The reversal of 107869220928 is 829022968701.

It can be written as a sum of positive squares in 2 ways, for example, as 22810665024 + 85058555904 = 151032^2 + 291648^2 .

It is a super-2 number, since 2×107869220928² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1112053776 + ... + 1112053872.

It is an arithmetic number, because the mean of its divisors is an integer number (508773811).

Almost surely, 2^107869220928 is an apocalyptic number.

107869220928 is a gapful number since it is divisible by the number (18) 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 107869220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192316500558).

107869220928 is an abundant number, since it is smaller than the sum of its proper divisors (276763780188).

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

107869220928 is a wasteful number, since it uses less digits than its factorization.

107869220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 107869220928 in words is "one hundred seven billion, eight hundred sixty-nine million, two hundred twenty thousand, nine hundred twenty-eight".