105012523 has 16 divisors (see below), whose sum is σ = 133714944. Its totient is φ = 80084160.

The previous prime is 105012473. The next prime is 105012529. The reversal of 105012523 is 325210501.

It is a cyclic number.

It is not a de Polignac number, because 105012523 - 2¹⁷ = 104881451 is a prime.

It is a super-2 number, since 2×105012523² = 22055259973651058, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105012523.

It is not an unprimeable number, because it can be changed into a prime (105012529) 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 15 ways as a sum of consecutive naturals, for example, 10890 + ... + 18127.

It is an arithmetic number, because the mean of its divisors is an integer number (8357184).

Almost surely, 2^105012523 is an apocalyptic number.

105012523 is a deficient number, since it is larger than the sum of its proper divisors (28702421).

105012523 is a wasteful number, since it uses less digits than its factorization.

105012523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29082.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105012523 is about 10247.5618075716. The cubic root of 105012523 is about 471.7881527406.

The spelling of 105012523 in words is "one hundred five million, twelve thousand, five hundred twenty-three".