105072525 has 24 divisors (see below), whose sum is σ = 193023360. Its totient is φ = 56038320.

The previous prime is 105072497. The next prime is 105072551. The reversal of 105072525 is 525270501.

It is a happy number.

It is not a de Polignac number, because 105072525 - 2⁷ = 105072397 is a prime.

It is a super-2 number, since 2×105072525² = 22080471019751250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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, 77157 + ... + 78506.

It is an arithmetic number, because the mean of its divisors is an integer number (8042640).

Almost surely, 2^105072525 is an apocalyptic number.

105072525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105072525 is a deficient number, since it is larger than the sum of its proper divisors (87950835).

105072525 is a wasteful number, since it uses less digits than its factorization.

105072525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155682 (or 155671 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 105072525 is about 10250.4890127252. The cubic root of 105072525 is about 471.8779923205.

The spelling of 105072525 in words is "one hundred five million, seventy-two thousand, five hundred twenty-five".