100093337 has 2 divisors, whose sum is σ = 100093338. Its totient is φ = 100093336.

The previous prime is 100093319. The next prime is 100093339. The reversal of 100093337 is 733390001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94692361 + 5400976 = 9731^2 + 2324^2 .

It is a cyclic number.

It is not a de Polignac number, because 100093337 - 2²⁰ = 99044761 is a prime.

It is a super-2 number, since 2×100093337² = 20037352223591138, which contains 22 as substring.

Together with 100093339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100093339) 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, 50046668 + 50046669.

It is an arithmetic number, because the mean of its divisors is an integer number (50046669).

Almost surely, 2^100093337 is an apocalyptic number.

It is an amenable number.

100093337 is a deficient number, since it is larger than the sum of its proper divisors (1).

100093337 is an equidigital number, since it uses as much as digits as its factorization.

100093337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 26.

The square root of 100093337 is about 10004.6657615335. The cubic root of 100093337 is about 464.3032491140.

The spelling of 100093337 in words is "one hundred million, ninety-three thousand, three hundred thirty-seven".