100709233 has 2 divisors, whose sum is σ = 100709234. Its totient is φ = 100709232.

The previous prime is 100709209. The next prime is 100709237. The reversal of 100709233 is 332907001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88792929 + 11916304 = 9423^2 + 3452^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100709233 is a prime.

It is a super-2 number, since 2×100709233² = 20284699222896578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100709198 and 100709207.

It is not a weakly prime, because it can be changed into another prime (100709237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50354616 + 50354617.

It is an arithmetic number, because the mean of its divisors is an integer number (50354617).

Almost surely, 2^100709233 is an apocalyptic number.

It is an amenable number.

100709233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100709233 is an equidigital number, since it uses as much as digits as its factorization.

100709233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 100709233 is about 10035.3989955557. The cubic root of 100709233 is about 465.2536220011.

The spelling of 100709233 in words is "one hundred million, seven hundred nine thousand, two hundred thirty-three".