100080971 has 2 divisors, whose sum is σ = 100080972. Its totient is φ = 100080970.

The previous prime is 100080941. The next prime is 100080977. The reversal of 100080971 is 179080001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100080971 - 2²² = 95886667 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 100080971.

It is not a weakly prime, because it can be changed into another prime (100080977) 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, 50040485 + 50040486.

It is an arithmetic number, because the mean of its divisors is an integer number (50040486).

Almost surely, 2^100080971 is an apocalyptic number.

100080971 is a deficient number, since it is larger than the sum of its proper divisors (1).

100080971 is an equidigital number, since it uses as much as digits as its factorization.

100080971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 100080971 is about 10004.0477307938. The cubic root of 100080971 is about 464.2841275933.

The spelling of 100080971 in words is "one hundred million, eighty thousand, nine hundred seventy-one".