105316113510 has 48 divisors (see below), whose sum is σ = 273992453280. Its totient is φ = 28066803840.

The previous prime is 105316113491. The next prime is 105316113527. The reversal of 105316113510 is 15311613501.

It is a happy number.

105316113510 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 611 + 35 + 10 = 666.

It is a super-2 number, since 2×105316113510² (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, 218826 + ... + 508445.

It is an arithmetic number, because the mean of its divisors is an integer number (5708176110).

Almost surely, 2^105316113510 is an apocalyptic number.

105316113510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105316113510 is an abundant number, since it is smaller than the sum of its proper divisors (168676339770).

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

105316113510 is a wasteful number, since it uses less digits than its factorization.

105316113510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728893 (or 728890 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 105316113510 in words is "one hundred five billion, three hundred sixteen million, one hundred thirteen thousand, five hundred ten".