107446916064 has 48 divisors (see below), whose sum is σ = 283290715008. Its totient is φ = 35657853312.

The previous prime is 107446916051. The next prime is 107446916111. The reversal of 107446916064 is 460619644701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×107446916064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2443492 + ... + 2487075.

It is an arithmetic number, because the mean of its divisors is an integer number (5901889896).

Almost surely, 2^107446916064 is an apocalyptic number.

It is an amenable number.

107446916064 is an abundant number, since it is smaller than the sum of its proper divisors (175843798944).

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

107446916064 is a wasteful number, since it uses less digits than its factorization.

107446916064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930807 (or 4930799 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 107446916064 in words is "one hundred seven billion, four hundred forty-six million, nine hundred sixteen thousand, sixty-four".