105561533 has 24 divisors (see below), whose sum is σ = 134950464. Its totient is φ = 81648000.

The previous prime is 105561509. The next prime is 105561539. The reversal of 105561533 is 335165501.

It is not a de Polignac number, because 105561533 - 2⁸ = 105561277 is a prime.

It is a super-2 number, since 2×105561533² = 22286474498620178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105561496 and 105561505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105561539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80741 + ... + 82037.

It is an arithmetic number, because the mean of its divisors is an integer number (5622936).

Almost surely, 2^105561533 is an apocalyptic number.

It is an amenable number.

105561533 is a deficient number, since it is larger than the sum of its proper divisors (29388931).

105561533 is a wasteful number, since it uses less digits than its factorization.

105561533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 29.

The square root of 105561533 is about 10274.3142350232. The cubic root of 105561533 is about 472.6089003677.

It can be divided in two parts, 1055 and 61533, that multiplied together give a triangular number (64917315 = T₁₁₃₉₄).

The spelling of 105561533 in words is "one hundred five million, five hundred sixty-one thousand, five hundred thirty-three".