100917161 has 2 divisors, whose sum is σ = 100917162. Its totient is φ = 100917160.

The previous prime is 100917143. The next prime is 100917181. The reversal of 100917161 is 161719001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71149225 + 29767936 = 8435^2 + 5456^2 .

It is a cyclic number.

It is not a de Polignac number, because 100917161 - 2⁶ = 100917097 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100917161.

It is not a weakly prime, because it can be changed into another prime (100917181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50458580 + 50458581.

It is an arithmetic number, because the mean of its divisors is an integer number (50458581).

Almost surely, 2^100917161 is an apocalyptic number.

It is an amenable number.

100917161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100917161 is an equidigital number, since it uses as much as digits as its factorization.

100917161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 26.

The square root of 100917161 is about 10045.7533814045. The cubic root of 100917161 is about 465.5735951599.

The spelling of 100917161 in words is "one hundred million, nine hundred seventeen thousand, one hundred sixty-one".