105140736 has 60 divisors (see below), whose sum is σ = 303456582. Its totient is φ = 35045376.

The previous prime is 105140701. The next prime is 105140779. The reversal of 105140736 is 637041501.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 49787136 = 7440^2 + 7056^2 .

It is a super-2 number, since 2×105140736² = 22109148733243392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6801 + ... + 16016.

Almost surely, 2^105140736 is an apocalyptic number.

105140736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105140736 is an abundant number, since it is smaller than the sum of its proper divisors (198315846).

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

105140736 is an equidigital number, since it uses as much as digits as its factorization.

105140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22841 (or 22822 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105140736 is about 10253.8156800286. The cubic root of 105140736 is about 471.9800815113.

The spelling of 105140736 in words is "one hundred five million, one hundred forty thousand, seven hundred thirty-six".