105252405 has 16 divisors (see below), whose sum is σ = 169338624. Its totient is φ = 55823040.

The previous prime is 105252361. The next prime is 105252443. The reversal of 105252405 is 504252501.

It is a happy number.

It is not a de Polignac number, because 105252405 - 2⁸ = 105252149 is a prime.

It is a super-2 number, since 2×105252405² = 22156137516568050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 16669 + ... + 22098.

It is an arithmetic number, because the mean of its divisors is an integer number (10583664).

Almost surely, 2^105252405 is an apocalyptic number.

105252405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105252405 is a deficient number, since it is larger than the sum of its proper divisors (64086219).

105252405 is a wasteful number, since it uses less digits than its factorization.

105252405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38956.

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 105252405 is about 10259.2594762000. The cubic root of 105252405 is about 472.1471176109.

The spelling of 105252405 in words is "one hundred five million, two hundred fifty-two thousand, four hundred five".