105885325 has 72 divisors (see below), whose sum is σ = 168713160. Its totient is φ = 65318400.

The previous prime is 105885319. The next prime is 105885331. The reversal of 105885325 is 523588501.

It is an interprime number because it is at equal distance from previous prime (105885319) and next prime (105885331).

It can be written as a sum of positive squares in 12 ways, for example, as 68112009 + 37773316 = 8253^2 + 6146^2 .

It is not a de Polignac number, because 105885325 - 2¹³ = 105877133 is a prime.

It is a super-2 number, since 2×105885325² = 22423404100711250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 971371 + ... + 971479.

Almost surely, 2^105885325 is an apocalyptic number.

It is an amenable number.

105885325 is a deficient number, since it is larger than the sum of its proper divisors (62827835).

105885325 is a wasteful number, since it uses less digits than its factorization.

105885325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 105885325 is about 10290.0595236374. The cubic root of 105885325 is about 473.0916228817.

The spelling of 105885325 in words is "one hundred five million, eight hundred eighty-five thousand, three hundred twenty-five".