100509193 has 2 divisors, whose sum is σ = 100509194. Its totient is φ = 100509192.

The previous prime is 100509137. The next prime is 100509209. The reversal of 100509193 is 391905001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83960569 + 16548624 = 9163^2 + 4068^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100509193 is a prime.

It is a super-2 number, since 2×100509193² = 20204195755022498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100519193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50254596 + 50254597.

It is an arithmetic number, because the mean of its divisors is an integer number (50254597).

Almost surely, 2^100509193 is an apocalyptic number.

It is an amenable number.

100509193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100509193 is an equidigital number, since it uses as much as digits as its factorization.

100509193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 28.

The square root of 100509193 is about 10025.4273225634. The cubic root of 100509193 is about 464.9453714681.

The spelling of 100509193 in words is "one hundred million, five hundred nine thousand, one hundred ninety-three".