105112128660 has 96 divisors (see below), whose sum is σ = 366936901632. Its totient is φ = 21841480320.

The previous prime is 105112128607. The next prime is 105112128679. The reversal of 105112128660 is 66821211501.

It is a super-2 number, since 2×105112128660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11371152 + ... + 11380391.

It is an arithmetic number, because the mean of its divisors is an integer number (3822259392).

Almost surely, 2^105112128660 is an apocalyptic number.

105112128660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105112128660 is an abundant number, since it is smaller than the sum of its proper divisors (261824772972).

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

105112128660 is a wasteful number, since it uses less digits than its factorization.

105112128660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22751573 (or 22751571 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 105112128660 in words is "one hundred five billion, one hundred twelve million, one hundred twenty-eight thousand, six hundred sixty".