105436053 has 32 divisors (see below), whose sum is σ = 162938880. Its totient is φ = 67307760.

The previous prime is 105436033. The next prime is 105436063. The reversal of 105436053 is 350634501.

105436053 is a `hidden beast` number, since 1 + 0 + 54 + 3 + 605 + 3 = 666.

It is not a de Polignac number, because 105436053 - 2²⁶ = 38327189 is a prime.

It is a super-2 number, since 2×105436053² = 22233522544437618, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105436003) 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, 85600 + ... + 86822.

It is an arithmetic number, because the mean of its divisors is an integer number (5091840).

Almost surely, 2^105436053 is an apocalyptic number.

It is an amenable number.

105436053 is a deficient number, since it is larger than the sum of its proper divisors (57502827).

105436053 is a wasteful number, since it uses less digits than its factorization.

105436053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 105436053 is about 10268.2059289829. The cubic root of 105436053 is about 472.4215642037.

The spelling of 105436053 in words is "one hundred five million, four hundred thirty-six thousand, fifty-three".