105320523 has 16 divisors (see below), whose sum is σ = 175078656. Its totient is φ = 54711840.

The previous prime is 105320503. The next prime is 105320533. The reversal of 105320523 is 325023501.

It is not a de Polignac number, because 105320523 - 2⁹ = 105320011 is a prime.

It is a super-2 number, since 2×105320523² = 22184825129987058, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 105320523.

It is not an unprimeable number, because it can be changed into a prime (105320503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227736 + ... + 228197.

It is an arithmetic number, because the mean of its divisors is an integer number (10942416).

Almost surely, 2^105320523 is an apocalyptic number.

105320523 is a deficient number, since it is larger than the sum of its proper divisors (69758133).

105320523 is a wasteful number, since it uses less digits than its factorization.

105320523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455954.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 105320523 is about 10262.5787694906. The cubic root of 105320523 is about 472.2489514887.

The spelling of 105320523 in words is "one hundred five million, three hundred twenty thousand, five hundred twenty-three".