107169048320 has 144 divisors (see below), whose sum is σ = 268950108672. Its totient is φ = 40837632000.

The previous prime is 107169048289. The next prime is 107169048331. The reversal of 107169048320 is 23840961701.

It is a super-2 number, since 2×107169048320² (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, 7382189 + ... + 7396691.

It is an arithmetic number, because the mean of its divisors is an integer number (1867709088).

Almost surely, 2^107169048320 is an apocalyptic number.

107169048320 is a gapful number since it is divisible by the number (10) 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 107169048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134475054336).

107169048320 is an abundant number, since it is smaller than the sum of its proper divisors (161781060352).

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

107169048320 is a wasteful number, since it uses less digits than its factorization.

107169048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14798 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 107169048320 in words is "one hundred seven billion, one hundred sixty-nine million, forty-eight thousand, three hundred twenty".