105160445316 has 48 divisors (see below), whose sum is σ = 288675737280. Its totient is φ = 32991511680.

The previous prime is 105160445309. The next prime is 105160445317. The reversal of 105160445316 is 613544061501.

105160445316 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 604 + 45 + 3 + 1 + 6 = 666.

It is a super-2 number, since 2×105160445316² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105160445317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28636630 + ... + 28640301.

It is an arithmetic number, because the mean of its divisors is an integer number (6014077860).

Almost surely, 2^105160445316 is an apocalyptic number.

It is an amenable number.

105160445316 is an abundant number, since it is smaller than the sum of its proper divisors (183515291964).

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

105160445316 is a wasteful number, since it uses less digits than its factorization.

105160445316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57276961 (or 57276953 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 105160445316 in words is "one hundred five billion, one hundred sixty million, four hundred forty-five thousand, three hundred sixteen".