105555825 has 48 divisors (see below), whose sum is σ = 194898240. Its totient is φ = 56010240.

The previous prime is 105555823. The next prime is 105555829. The reversal of 105555825 is 528555501.

It is not a de Polignac number, because 105555825 - 2¹ = 105555823 is a prime.

It is a super-2 number, since 2×105555825² = 22284064382861250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105555825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105555823) 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, 238054 + ... + 238496.

It is an arithmetic number, because the mean of its divisors is an integer number (4060380).

Almost surely, 2^105555825 is an apocalyptic number.

105555825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105555825 is a deficient number, since it is larger than the sum of its proper divisors (89342415).

105555825 is a wasteful number, since it uses less digits than its factorization.

105555825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The square root of 105555825 is about 10274.0364511715. The cubic root of 105555825 is about 472.6003817968.

The spelling of 105555825 in words is "one hundred five million, five hundred fifty-five thousand, eight hundred twenty-five".