105833025 has 36 divisors (see below), whose sum is σ = 190112832. Its totient is φ = 56279520.

The previous prime is 105833023. The next prime is 105833047. The reversal of 105833025 is 520338501.

It is not a de Polignac number, because 105833025 - 2¹ = 105833023 is a prime.

It is a super-2 number, since 2×105833025² = 22401258361301250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105833025.

It is not an unprimeable number, because it can be changed into a prime (105833023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145212 + ... + 145938.

It is an arithmetic number, because the mean of its divisors is an integer number (5280912).

Almost surely, 2^105833025 is an apocalyptic number.

105833025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105833025 is a deficient number, since it is larger than the sum of its proper divisors (84279807).

105833025 is a wasteful number, since it uses less digits than its factorization.

105833025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105833025 is about 10287.5179222201. The cubic root of 105833025 is about 473.0137185806.

The spelling of 105833025 in words is "one hundred five million, eight hundred thirty-three thousand, twenty-five".