105685497 has 12 divisors (see below), whose sum is σ = 152798100. Its totient is φ = 70391808.

The previous prime is 105685493. The next prime is 105685507. The reversal of 105685497 is 794586501.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 83557881 = 4704^2 + 9141^2 .

It is not a de Polignac number, because 105685497 - 2² = 105685493 is a prime.

It is a super-2 number, since 2×105685497² = 22338848552274018, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105685493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6129 + ... + 15777.

It is an arithmetic number, because the mean of its divisors is an integer number (12733175).

Almost surely, 2^105685497 is an apocalyptic number.

It is an amenable number.

105685497 is a deficient number, since it is larger than the sum of its proper divisors (47112603).

105685497 is a wasteful number, since it uses less digits than its factorization.

105685497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10872 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 105685497 is about 10280.3451790297. The cubic root of 105685497 is about 472.7938274895.

The spelling of 105685497 in words is "one hundred five million, six hundred eighty-five thousand, four hundred ninety-seven".