105165025 has 27 divisors (see below), whose sum is σ = 152214681. Its totient is φ = 71867040.

The previous prime is 105165023. The next prime is 105165031. The reversal of 105165025 is 520561501.

The square root of 105165025 is 10255.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16654561 + 88510464 = 4081^2 + 9408^2 .

It is not a de Polignac number, because 105165025 - 2¹ = 105165023 is a prime.

It is a super-2 number, since 2×105165025² = 22119364966501250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105165023) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 358779 + ... + 359071.

Almost surely, 2^105165025 is an apocalyptic number.

105165025 is the 10255-th square number.

105165025 is the 5128-th centered octagonal number.

It is an amenable number.

105165025 is a deficient number, since it is larger than the sum of its proper divisors (47049656).

105165025 is an frugal number, since it uses more digits than its factorization.

105165025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The cubic root of 105165025 is about 472.0164234087.

Multiplying 105165025 by its sum of digits (25), we get a square (2629125625 = 51275²).

105165025 divided by its sum of digits (25) gives a square (4206601 = 2051²).

The spelling of 105165025 in words is "one hundred five million, one hundred sixty-five thousand, twenty-five".