105041408 has 40 divisors (see below), whose sum is σ = 211163568. Its totient is φ = 52199424.

The previous prime is 105041407. The next prime is 105041413. The reversal of 105041408 is 804140501.

It is a super-2 number, since 2×105041408² = 22067394789244928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105041407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98285 + ... + 99347.

Almost surely, 2^105041408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105581784).

105041408 is an abundant number, since it is smaller than the sum of its proper divisors (106122160).

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

105041408 is an equidigital number, since it uses as much as digits as its factorization.

105041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 105041408 is about 10248.9710703075. The cubic root of 105041408 is about 471.8314058407.

Adding to 105041408 its reverse (804140501), we get a palindrome (909181909).

The spelling of 105041408 in words is "one hundred five million, forty-one thousand, four hundred eight".