105728525 has 36 divisors (see below), whose sum is σ = 161510868. Its totient is φ = 68221440.

The previous prime is 105728509. The next prime is 105728549. The reversal of 105728525 is 525827501.

It can be written as a sum of positive squares in 6 ways, for example, as 10099684 + 95628841 = 3178^2 + 9779^2 .

It is not a de Polignac number, because 105728525 - 2⁴ = 105728509 is a prime.

It is a super-2 number, since 2×105728525² = 22357041997351250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18287 + ... + 23363.

It is an arithmetic number, because the mean of its divisors is an integer number (4486413).

Almost surely, 2^105728525 is an apocalyptic number.

It is an amenable number.

105728525 is a deficient number, since it is larger than the sum of its proper divisors (55782343).

105728525 is a wasteful number, since it uses less digits than its factorization.

105728525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 35.

The square root of 105728525 is about 10282.4376973556. The cubic root of 105728525 is about 472.8579820272.

The spelling of 105728525 in words is "one hundred five million, seven hundred twenty-eight thousand, five hundred twenty-five".