105979633 has 2 divisors, whose sum is σ = 105979634. Its totient is φ = 105979632.

The previous prime is 105979619. The next prime is 105979637. The reversal of 105979633 is 336979501.

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., 103693489 + 2286144 = 10183^2 + 1512^2 .

It is an emirp because it is prime and its reverse (336979501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105979633 - 2⁹ = 105979121 is a prime.

It is a super-2 number, since 2×105979633² = 22463365221629378, 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 105979633.

It is not a weakly prime, because it can be changed into another prime (105979637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52989816 + 52989817.

It is an arithmetic number, because the mean of its divisors is an integer number (52989817).

Almost surely, 2^105979633 is an apocalyptic number.

It is an amenable number.

105979633 is a deficient number, since it is larger than the sum of its proper divisors (1).

105979633 is an equidigital number, since it uses as much as digits as its factorization.

105979633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 153090, while the sum is 43.

The square root of 105979633 is about 10294.6409845123. The cubic root of 105979633 is about 473.2320360607.

The spelling of 105979633 in words is "one hundred five million, nine hundred seventy-nine thousand, six hundred thirty-three".