105365625 has 24 divisors (see below), whose sum is σ = 175613760. Its totient is φ = 56190000.

The previous prime is 105365591. The next prime is 105365627. The reversal of 105365625 is 526563501.

It is not a de Polignac number, because 105365625 - 2¹⁴ = 105349241 is a prime.

It is a super-2 number, since 2×105365625² = 22203829863281250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105365627) 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 23 ways as a sum of consecutive naturals, for example, 3756 + ... + 14994.

It is an arithmetic number, because the mean of its divisors is an integer number (7317240).

Almost surely, 2^105365625 is an apocalyptic number.

105365625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105365625 is a deficient number, since it is larger than the sum of its proper divisors (70248135).

105365625 is an frugal number, since it uses more digits than its factorization.

105365625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267 (or 11247 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 105365625 is about 10264.7759352068. The cubic root of 105365625 is about 472.3163531433.

It can be divided in two parts, 10536 and 5625, that added together give a palindrome (16161).

The spelling of 105365625 in words is "one hundred five million, three hundred sixty-five thousand, six hundred twenty-five".