100407161 has 2 divisors, whose sum is σ = 100407162. Its totient is φ = 100407160.

The previous prime is 100407149. The next prime is 100407169. The reversal of 100407161 is 161704001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71301136 + 29106025 = 8444^2 + 5395^2 .

It is a cyclic number.

It is not a de Polignac number, because 100407161 - 2¹⁴ = 100390777 is a prime.

It is not a weakly prime, because it can be changed into another prime (100407169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50203580 + 50203581.

It is an arithmetic number, because the mean of its divisors is an integer number (50203581).

Almost surely, 2^100407161 is an apocalyptic number.

It is an amenable number.

100407161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100407161 is an equidigital number, since it uses as much as digits as its factorization.

100407161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 100407161 is about 10020.3373695699. The cubic root of 100407161 is about 464.7879882926.

The spelling of 100407161 in words is "one hundred million, four hundred seven thousand, one hundred sixty-one".