105034336 has 48 divisors (see below), whose sum is σ = 226981440. Its totient is φ = 47447680.

The previous prime is 105034327. The next prime is 105034343. The reversal of 105034336 is 633430501.

It is a super-2 number, since 2×105034336² = 22064423477921792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105034336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62175 + ... + 63841.

It is an arithmetic number, because the mean of its divisors is an integer number (4728780).

Almost surely, 2^105034336 is an apocalyptic number.

105034336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105034336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113490720).

105034336 is an abundant number, since it is smaller than the sum of its proper divisors (121947104).

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

105034336 is a wasteful number, since it uses less digits than its factorization.

105034336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 105034336 is about 10248.6260542572. The cubic root of 105034336 is about 471.8208167893.

Adding to 105034336 its reverse (633430501), we get a palindrome (738464837).

The spelling of 105034336 in words is "one hundred five million, thirty-four thousand, three hundred thirty-six".