105318199474128 has 120 divisors (see below), whose sum is σ = 304964009625600. Its totient is φ = 33889318670592.

The previous prime is 105318199474109. The next prime is 105318199474153. The reversal of 105318199474128 is 821474991813501.

105318199474128 is a `hidden beast` number, since 1 + 0 + 5 + 31 + 8 + 1 + 9 + 9 + 474 + 128 = 666.

It is a super-2 number, since 2×105318199474128² (a number of 29 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, 20578801 + ... + 25181807.

It is an arithmetic number, because the mean of its divisors is an integer number (2541366746880).

Almost surely, 2^{105318199474128} is an apocalyptic number.

105318199474128 is a gapful number since it is divisible by the number (18) 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 105318199474128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152482004812800).

105318199474128 is an abundant number, since it is smaller than the sum of its proper divisors (199645810151472).

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

105318199474128 is a wasteful number, since it uses less digits than its factorization.

105318199474128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608529 (or 4608520 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 105318199474128 in words is "one hundred five trillion, three hundred eighteen billion, one hundred ninety-nine million, four hundred seventy-four thousand, one hundred twenty-eight".