105338910 has 16 divisors (see below), whose sum is σ = 252813456. Its totient is φ = 28090368.

The previous prime is 105338897. The next prime is 105338917. The reversal of 105338910 is 19833501.

It is a happy number.

It is a super-2 number, since 2×105338910² = 22192571919976200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3511297 = 105338910 / (1 + 0 + 5 + 3 + 3 + 8 + 9 + 1 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105338917) 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 7 ways as a sum of consecutive naturals, for example, 1755619 + ... + 1755678.

It is an arithmetic number, because the mean of its divisors is an integer number (15800841).

Almost surely, 2^105338910 is an apocalyptic number.

105338910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105338910 is an abundant number, since it is smaller than the sum of its proper divisors (147474546).

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

105338910 is a wasteful number, since it uses less digits than its factorization.

105338910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511307.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 105338910 is about 10263.4745578678. The cubic root of 105338910 is about 472.2764318441.

The spelling of 105338910 in words is "one hundred five million, three hundred thirty-eight thousand, nine hundred ten".