105005657 has 2 divisors, whose sum is σ = 105005658. Its totient is φ = 105005656.

The previous prime is 105005653. The next prime is 105005713. The reversal of 105005657 is 756500501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75672601 + 29333056 = 8699^2 + 5416^2 .

It is a cyclic number.

It is not a de Polignac number, because 105005657 - 2² = 105005653 is a prime.

It is a super-2 number, since 2×105005657² = 22052376004003298, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105005653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502828 + 52502829.

It is an arithmetic number, because the mean of its divisors is an integer number (52502829).

Almost surely, 2^105005657 is an apocalyptic number.

It is an amenable number.

105005657 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005657 is an equidigital number, since it uses as much as digits as its factorization.

105005657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5250, while the sum is 29.

The square root of 105005657 is about 10247.2267955774. The cubic root of 105005657 is about 471.7778702588. Note that the first 3 decimals are identical.

The spelling of 105005657 in words is "one hundred five million, five thousand, six hundred fifty-seven".