101082973 has 2 divisors, whose sum is σ = 101082974. Its totient is φ = 101082972.

The previous prime is 101082931. The next prime is 101082977. The reversal of 101082973 is 379280101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101062809 + 20164 = 10053^2 + 142^2 .

It is an emirp because it is prime and its reverse (379280101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101082973 - 2⁹ = 101082461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101082977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50541486 + 50541487.

It is an arithmetic number, because the mean of its divisors is an integer number (50541487).

Almost surely, 2^101082973 is an apocalyptic number.

It is an amenable number.

101082973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101082973 is an equidigital number, since it uses as much as digits as its factorization.

101082973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 101082973 is about 10054.0028346923. The cubic root of 101082973 is about 465.8284426237.

The spelling of 101082973 in words is "one hundred one million, eighty-two thousand, nine hundred seventy-three".