105607832512 has 168 divisors, whose sum is σ = 262996923840. Its totient is φ = 41705072640.

The previous prime is 105607832509. The next prime is 105607832521. The reversal of 105607832512 is 215238706501.

It is a super-2 number, since 2×105607832512² (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 23 ways as a sum of consecutive naturals, for example, 26945689 + ... + 26949607.

It is an arithmetic number, because the mean of its divisors is an integer number (1565457880).

Almost surely, 2^105607832512 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 105607832512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131498461920).

105607832512 is an abundant number, since it is smaller than the sum of its proper divisors (157389091328).

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

105607832512 is a wasteful number, since it uses less digits than its factorization.

105607832512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 105607832512 in words is "one hundred five billion, six hundred seven million, eight hundred thirty-two thousand, five hundred twelve".