105338394 has 80 divisors (see below), whose sum is σ = 284011200. Its totient is φ = 28506816.

The previous prime is 105338393. The next prime is 105338417. The reversal of 105338394 is 493833501.

It is a super-2 number, since 2×105338394² = 22192354500998472, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105338393) 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 39 ways as a sum of consecutive naturals, for example, 19102 + ... + 23990.

It is an arithmetic number, because the mean of its divisors is an integer number (3550140).

Almost surely, 2^105338394 is an apocalyptic number.

105338394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105338394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142005600).

105338394 is an abundant number, since it is smaller than the sum of its proper divisors (178672806).

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

105338394 is a wasteful number, since it uses less digits than its factorization.

105338394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 105338394 is about 10263.4494201511. The cubic root of 105338394 is about 472.2756606981.

The spelling of 105338394 in words is "one hundred five million, three hundred thirty-eight thousand, three hundred ninety-four".