105270336 has 84 divisors (see below), whose sum is σ = 317652400. Its totient is φ = 33239808.

The previous prime is 105270331. The next prime is 105270343. The reversal of 105270336 is 633072501.

It is a happy number.

It is a super-2 number, since 2×105270336² = 22163687283105792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105270331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6135 + ... + 15753.

Almost surely, 2^105270336 is an apocalyptic number.

105270336 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 105270336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158826200).

105270336 is an abundant number, since it is smaller than the sum of its proper divisors (212382064).

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

105270336 is a wasteful number, since it uses less digits than its factorization.

105270336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656 (or 9643 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 105270336 is about 10260.1333324670. The cubic root of 105270336 is about 472.1739280489.

The spelling of 105270336 in words is "one hundred five million, two hundred seventy thousand, three hundred thirty-six".