105506672128 has 240 divisors, whose sum is σ = 250979873760. Its totient is φ = 44013404160.

The previous prime is 105506672113. The next prime is 105506672143. The reversal of 105506672128 is 821276605501.

It is an interprime number because it is at equal distance from previous prime (105506672113) and next prime (105506672143).

It is a super-2 number, since 2×105506672128² (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, 216645901 + ... + 216646387.

It is an arithmetic number, because the mean of its divisors is an integer number (1045749474).

Almost surely, 2^105506672128 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 105506672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125489936880).

105506672128 is an abundant number, since it is smaller than the sum of its proper divisors (145473201632).

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

105506672128 is a wasteful number, since it uses less digits than its factorization.

105506672128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 105506672128 in words is "one hundred five billion, five hundred six million, six hundred seventy-two thousand, one hundred twenty-eight".