105113896128108 has 192 divisors, whose sum is σ = 329539276416000. Its totient is φ = 28304461836288.

The previous prime is 105113896128097. The next prime is 105113896128121. The reversal of 105113896128108 is 801821698311501.

105113896128108 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 3 + 8 + 9 + 612 + 8 + 10 + 8 = 666.

It is a super-2 number, since 2×105113896128108² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16185963 + ... + 21730466.

It is an arithmetic number, because the mean of its divisors is an integer number (1716350398000).

Almost surely, 2^{105113896128108} is an apocalyptic number.

105113896128108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105113896128108 is an abundant number, since it is smaller than the sum of its proper divisors (224425380287892).

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

105113896128108 is a wasteful number, since it uses less digits than its factorization.

105113896128108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37916661 (or 37916653 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 105113896128108 in words is "one hundred five trillion, one hundred thirteen billion, eight hundred ninety-six million, one hundred twenty-eight thousand, one hundred eight".