105633329 has 2 divisors, whose sum is σ = 105633330. Its totient is φ = 105633328.

The previous prime is 105633301. The next prime is 105633347. The reversal of 105633329 is 923336501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104509729 + 1123600 = 10223^2 + 1060^2 .

It is a cyclic number.

It is not a de Polignac number, because 105633329 - 2¹⁶ = 105567793 is a prime.

It is a super-2 number, since 2×105633329² = 22316800391244482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105633295 and 105633304.

It is not a weakly prime, because it can be changed into another prime (105633629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52816664 + 52816665.

It is an arithmetic number, because the mean of its divisors is an integer number (52816665).

Almost surely, 2^105633329 is an apocalyptic number.

It is an amenable number.

105633329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105633329 is an equidigital number, since it uses as much as digits as its factorization.

105633329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 32.

The square root of 105633329 is about 10277.8075969537. The cubic root of 105633329 is about 472.7160218980.

The spelling of 105633329 in words is "one hundred five million, six hundred thirty-three thousand, three hundred twenty-nine".