105166657 has 2 divisors, whose sum is σ = 105166658. Its totient is φ = 105166656.

The previous prime is 105166643. The next prime is 105166739. The reversal of 105166657 is 756661501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 34000561 = 8436^2 + 5831^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105166657 is a prime.

It is a super-2 number, since 2×105166657² = 22120051489111298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105166637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52583328 + 52583329.

It is an arithmetic number, because the mean of its divisors is an integer number (52583329).

Almost surely, 2^105166657 is an apocalyptic number.

It is an amenable number.

105166657 is a deficient number, since it is larger than the sum of its proper divisors (1).

105166657 is an equidigital number, since it uses as much as digits as its factorization.

105166657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 105166657 is about 10255.0795706323. The cubic root of 105166657 is about 472.0188650532.

The spelling of 105166657 in words is "one hundred five million, one hundred sixty-six thousand, six hundred fifty-seven".