105252523 has 8 divisors (see below), whose sum is σ = 106162448. Its totient is φ = 104346144.

The previous prime is 105252503. The next prime is 105252527. The reversal of 105252523 is 325252501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105252523 - 2¹⁷ = 105121451 is a prime.

It is a super-2 number, since 2×105252523² = 22156187195731058, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105252527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122965 + ... + 123817.

It is an arithmetic number, because the mean of its divisors is an integer number (13270306).

Almost surely, 2^105252523 is an apocalyptic number.

105252523 is a deficient number, since it is larger than the sum of its proper divisors (909925).

105252523 is an equidigital number, since it uses as much as digits as its factorization.

105252523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773.

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 105252523 is about 10259.2652271008. The cubic root of 105252523 is about 472.1472940545.

The spelling of 105252523 in words is "one hundred five million, two hundred fifty-two thousand, five hundred twenty-three".