105333629 has 16 divisors (see below), whose sum is σ = 114115584. Its totient is φ = 96940800.

The previous prime is 105333601. The next prime is 105333643. The reversal of 105333629 is 926333501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105333629 is a prime.

It is a super-2 number, since 2×105333629² = 22190346796619282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105333595 and 105333604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105333659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171527 + ... + 172139.

It is an arithmetic number, because the mean of its divisors is an integer number (7132224).

Almost surely, 2^105333629 is an apocalyptic number.

It is an amenable number.

105333629 is a deficient number, since it is larger than the sum of its proper divisors (8781955).

105333629 is a wasteful number, since it uses less digits than its factorization.

105333629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908.

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

The square root of 105333629 is about 10263.2172830940. The cubic root of 105333629 is about 472.2685394343.

The spelling of 105333629 in words is "one hundred five million, three hundred thirty-three thousand, six hundred twenty-nine".