105666525 has 30 divisors (see below), whose sum is σ = 195734682. Its totient is φ = 56354400.

The previous prime is 105666521. The next prime is 105666541. The reversal of 105666525 is 525666501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 29241 + 105637284 = 171^2 + 10278^2 .

It is not a de Polignac number, because 105666525 - 2² = 105666521 is a prime.

It is a super-2 number, since 2×105666525² = 22330829011151250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105666525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105666521) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24066 + ... + 28115.

Almost surely, 2^105666525 is an apocalyptic number.

105666525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105666525 is a deficient number, since it is larger than the sum of its proper divisors (90068157).

105666525 is an equidigital number, since it uses as much as digits as its factorization.

105666525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52203 (or 52189 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 105666525 is about 10279.4224059526. The cubic root of 105666525 is about 472.7655347986.

The spelling of 105666525 in words is "one hundred five million, six hundred sixty-six thousand, five hundred twenty-five".