105976338 has 64 divisors (see below), whose sum is σ = 246005760. Its totient is φ = 30155328.

The previous prime is 105976333. The next prime is 105976397. The reversal of 105976338 is 833679501.

It is a super-2 number, since 2×105976338² = 22461968431780488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 105976338.

It is not an unprimeable number, because it can be changed into a prime (105976333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62895 + ... + 64557.

It is an arithmetic number, because the mean of its divisors is an integer number (3843840).

Almost surely, 2^105976338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105976338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123002880).

105976338 is an abundant number, since it is smaller than the sum of its proper divisors (140029422).

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

105976338 is a wasteful number, since it uses less digits than its factorization.

105976338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 105976338 is about 10294.4809485471. The cubic root of 105976338 is about 473.2271316099.

The spelling of 105976338 in words is "one hundred five million, nine hundred seventy-six thousand, three hundred thirty-eight".