105575625 has 45 divisors (see below), whose sum is σ = 191962771. Its totient is φ = 55896000.

The previous prime is 105575623. The next prime is 105575633. The reversal of 105575625 is 526575501.

It is a happy number.

The square root of 105575625 is 10275.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 72948681 + 32626944 = 8541^2 + 5712^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 105575625 - 2¹ = 105575623 is a prime.

It is a super-2 number, since 2×105575625² = 22292425188281250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105575625.

It is not an unprimeable number, because it can be changed into a prime (105575623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 770557 + ... + 770693.

Almost surely, 2^105575625 is an apocalyptic number.

105575625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105575625 is the 10275-th square number.

105575625 is the 5138-th centered octagonal number.

It is an amenable number.

105575625 is a deficient number, since it is larger than the sum of its proper divisors (86387146).

105575625 is an frugal number, since it uses more digits than its factorization.

105575625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The cubic root of 105575625 is about 472.6299298346.

Multiplying 105575625 by its sum of digits (36), we get a square (3800722500 = 61650²).

The spelling of 105575625 in words is "one hundred five million, five hundred seventy-five thousand, six hundred twenty-five".