105333561 has 32 divisors (see below), whose sum is σ = 162068480. Its totient is φ = 67557888.

The previous prime is 105333517. The next prime is 105333593. The reversal of 105333561 is 165333501.

It is not a de Polignac number, because 105333561 - 2⁶ = 105333497 is a prime.

It is a super-2 number, since 2×105333561² = 22190318145881442, 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 not an unprimeable number, because it can be changed into a prime (105333061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96360 + ... + 97446.

It is an arithmetic number, because the mean of its divisors is an integer number (5064640).

Almost surely, 2^105333561 is an apocalyptic number.

It is an amenable number.

105333561 is a deficient number, since it is larger than the sum of its proper divisors (56734919).

105333561 is a wasteful number, since it uses less digits than its factorization.

105333561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

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

The square root of 105333561 is about 10263.2139702922. The cubic root of 105333561 is about 472.2684378072.

The spelling of 105333561 in words is "one hundred five million, three hundred thirty-three thousand, five hundred sixty-one".