100985293 has 2 divisors, whose sum is σ = 100985294. Its totient is φ = 100985292.

The previous prime is 100985267. The next prime is 100985309. The reversal of 100985293 is 392589001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86825124 + 14160169 = 9318^2 + 3763^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100985293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100983293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50492646 + 50492647.

It is an arithmetic number, because the mean of its divisors is an integer number (50492647).

Almost surely, 2^100985293 is an apocalyptic number.

It is an amenable number.

100985293 is a deficient number, since it is larger than the sum of its proper divisors (1).

100985293 is an equidigital number, since it uses as much as digits as its factorization.

100985293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 100985293 is about 10049.1438938847. The cubic root of 100985293 is about 465.6783455119.

The spelling of 100985293 in words is "one hundred million, nine hundred eighty-five thousand, two hundred ninety-three".