107021920896 has 256 divisors, whose sum is σ = 346049280000. Its totient is φ = 32292449280.

The previous prime is 107021920867. The next prime is 107021920927. The reversal of 107021920896 is 698029120701.

107021920896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107021920896² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9079935 + ... + 9091713.

It is an arithmetic number, because the mean of its divisors is an integer number (1351755000).

Almost surely, 2^107021920896 is an apocalyptic number.

107021920896 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 107021920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173024640000).

107021920896 is an abundant number, since it is smaller than the sum of its proper divisors (239027359104).

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

107021920896 is a wasteful number, since it uses less digits than its factorization.

107021920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12052 (or 12034 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 107021920896 in words is "one hundred seven billion, twenty-one million, nine hundred twenty thousand, eight hundred ninety-six".