105119933 has 2 divisors, whose sum is σ = 105119934. Its totient is φ = 105119932.

The previous prime is 105119881. The next prime is 105119981. The reversal of 105119933 is 339911501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88774084 + 16345849 = 9422^2 + 4043^2 .

It is a cyclic number.

It is not a de Polignac number, because 105119933 - 2⁶ = 105119869 is a prime.

It is a super-2 number, since 2×105119933² = 22100400627848978, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105119933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105119633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52559966 + 52559967.

It is an arithmetic number, because the mean of its divisors is an integer number (52559967).

Almost surely, 2^105119933 is an apocalyptic number.

It is an amenable number.

105119933 is a deficient number, since it is larger than the sum of its proper divisors (1).

105119933 is an equidigital number, since it uses as much as digits as its factorization.

105119933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3645, while the sum is 32.

The square root of 105119933 is about 10252.8012269818. The cubic root of 105119933 is about 471.9489510169.

The spelling of 105119933 in words is "one hundred five million, one hundred nineteen thousand, nine hundred thirty-three".