105825525 has 48 divisors (see below), whose sum is σ = 189571200. Its totient is φ = 51782400.

The previous prime is 105825523. The next prime is 105825547. The reversal of 105825525 is 525528501.

It is not a de Polignac number, because 105825525 - 2¹ = 105825523 is a prime.

It is a super-2 number, since 2×105825525² = 22398083483051250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105825523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303051 + ... + 303399.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2^105825525 is an apocalyptic number.

105825525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105825525 is a deficient number, since it is larger than the sum of its proper divisors (83745675).

105825525 is a wasteful number, since it uses less digits than its factorization.

105825525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The square root of 105825525 is about 10287.1533963483. The cubic root of 105825525 is about 473.0025447317.

The spelling of 105825525 in words is "one hundred five million, eight hundred twenty-five thousand, five hundred twenty-five".