105314315860 has 48 divisors (see below), whose sum is σ = 238198995216. Its totient is φ = 38880940032.

The previous prime is 105314315849. The next prime is 105314315863. The reversal of 105314315860 is 68513413501.

It can be written as a sum of positive squares in 8 ways, for example, as 52442832016 + 52871483844 = 229004^2 + 229938^2 .

It is a super-2 number, since 2×105314315860² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105314315863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3175524 + ... + 3208516.

It is an arithmetic number, because the mean of its divisors is an integer number (4962479067).

Almost surely, 2^105314315860 is an apocalyptic number.

105314315860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105314315860 is an abundant number, since it is smaller than the sum of its proper divisors (132884679356).

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

105314315860 is a wasteful number, since it uses less digits than its factorization.

105314315860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45292 (or 45290 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 105314315860 in words is "one hundred five billion, three hundred fourteen million, three hundred fifteen thousand, eight hundred sixty".