105561333 has 16 divisors (see below), whose sum is σ = 160615360. Its totient is φ = 68471568.

The previous prime is 105561299. The next prime is 105561353. The reversal of 105561333 is 333165501.

105561333 is a `hidden beast` number, since 10 + 5 + 5 + 613 + 33 = 666.

It is not a de Polignac number, because 105561333 - 2⁸ = 105561077 is a prime.

It is a super-2 number, since 2×105561333² = 22286390049473778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105561297 and 105561306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105561353) 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, 51835 + ... + 53832.

It is an arithmetic number, because the mean of its divisors is an integer number (10038460).

Almost surely, 2^105561333 is an apocalyptic number.

It is an amenable number.

105561333 is a deficient number, since it is larger than the sum of its proper divisors (55054027).

105561333 is a wasteful number, since it uses less digits than its factorization.

105561333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105713 (or 105707 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 105561333 is about 10274.3045020089. The cubic root of 105561333 is about 472.6086018946.

The spelling of 105561333 in words is "one hundred five million, five hundred sixty-one thousand, three hundred thirty-three".