105700516 has 12 divisors (see below), whose sum is σ = 185356080. Its totient is φ = 52741640.

The previous prime is 105700513. The next prime is 105700519. The reversal of 105700516 is 615007501.

It is an interprime number because it is at equal distance from previous prime (105700513) and next prime (105700519).

It is a super-2 number, since 2×105700516² = 22345198165332512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105700513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24946 + ... + 28873.

It is an arithmetic number, because the mean of its divisors is an integer number (15446340).

Almost surely, 2^105700516 is an apocalyptic number.

It is an amenable number.

105700516 is a deficient number, since it is larger than the sum of its proper divisors (79655564).

105700516 is a wasteful number, since it uses less digits than its factorization.

105700516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54314 (or 54312 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 105700516 is about 10281.0756246611. The cubic root of 105700516 is about 472.8162227230.

The spelling of 105700516 in words is "one hundred five million, seven hundred thousand, five hundred sixteen".