105185838 has 16 divisors (see below), whose sum is σ = 213821136. Its totient is φ = 34487040.

The previous prime is 105185833. The next prime is 105185879. The reversal of 105185838 is 838581501.

It is a super-2 number, since 2×105185838² = 22128121031524488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105185796 and 105185805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105185833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143331 + ... + 144062.

It is an arithmetic number, because the mean of its divisors is an integer number (13363821).

Almost surely, 2^105185838 is an apocalyptic number.

105185838 is an abundant number, since it is smaller than the sum of its proper divisors (108635298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105185838 is a wasteful number, since it uses less digits than its factorization.

105185838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287459.

The product of its (nonzero) digits is 38400, while the sum is 39.

The square root of 105185838 is about 10256.0147230784. The cubic root of 105185838 is about 472.0475599639.

The spelling of 105185838 in words is "one hundred five million, one hundred eighty-five thousand, eight hundred thirty-eight".