105852999 has 16 divisors (see below), whose sum is σ = 170788608. Its totient is φ = 56929152.

The previous prime is 105852983. The next prime is 105853001. The reversal of 105852999 is 999258501.

It is a happy number.

It is not a de Polignac number, because 105852999 - 2⁴ = 105852983 is a prime.

It is a super-2 number, since 2×105852999² = 22409714794588002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105852959) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 147897 + ... + 148610.

It is an arithmetic number, because the mean of its divisors is an integer number (10674288).

Almost surely, 2^105852999 is an apocalyptic number.

105852999 is a deficient number, since it is larger than the sum of its proper divisors (64935609).

105852999 is a wasteful number, since it uses less digits than its factorization.

105852999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296534.

The product of its (nonzero) digits is 291600, while the sum is 48.

The square root of 105852999 is about 10288.4886645221. The cubic root of 105852999 is about 473.0434742002.

The spelling of 105852999 in words is "one hundred five million, eight hundred fifty-two thousand, nine hundred ninety-nine".