105852838 has 48 divisors (see below), whose sum is σ = 209427120. Its totient is φ = 39662784.

The previous prime is 105852827. The next prime is 105852841. The reversal of 105852838 is 838258501.

It is a super-2 number, since 2×105852838² = 22409646625308488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105852838.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22020 + ... + 26392.

It is an arithmetic number, because the mean of its divisors is an integer number (4363065).

Almost surely, 2^105852838 is an apocalyptic number.

105852838 is a deficient number, since it is larger than the sum of its proper divisors (103574282).

105852838 is a wasteful number, since it uses less digits than its factorization.

105852838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 105852838 is about 10288.4808402407. The cubic root of 105852838 is about 473.0432343706.

The spelling of 105852838 in words is "one hundred five million, eight hundred fifty-two thousand, eight hundred thirty-eight".