100082971 has 2 divisors, whose sum is σ = 100082972. Its totient is φ = 100082970.

The previous prime is 100082929. The next prime is 100082999. The reversal of 100082971 is 179280001.

It is an a-pointer prime, because the next prime (100082999) can be obtained adding 100082971 to its sum of digits (28).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100082971 - 2⁹ = 100082459 is a prime.

It is not a weakly prime, because it can be changed into another prime (100080971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50041485 + 50041486.

It is an arithmetic number, because the mean of its divisors is an integer number (50041486).

Almost surely, 2^100082971 is an apocalyptic number.

100082971 is a deficient number, since it is larger than the sum of its proper divisors (1).

100082971 is an equidigital number, since it uses as much as digits as its factorization.

100082971 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 100082971 is about 10004.1476898335. The cubic root of 100082971 is about 464.2872202960.

The spelling of 100082971 in words is "one hundred million, eighty-two thousand, nine hundred seventy-one".