107001022912 has 112 divisors (see below), whose sum is σ = 246018304000. Its totient is φ = 45224884224.

The previous prime is 107001022907. The next prime is 107001022939. The reversal of 107001022912 is 219220100701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×107001022912² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56944789 + ... + 56946667.

It is an arithmetic number, because the mean of its divisors is an integer number (2196592000).

Almost surely, 2^107001022912 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 107001022912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123009152000).

107001022912 is an abundant number, since it is smaller than the sum of its proper divisors (139017281088).

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

107001022912 is a wasteful number, since it uses less digits than its factorization.

107001022912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 107001022912 in words is "one hundred seven billion, one million, twenty-two thousand, nine hundred twelve".