105915340 has 48 divisors (see below), whose sum is σ = 226951200. Its totient is φ = 41513472.

The previous prime is 105915331. The next prime is 105915347. The reversal of 105915340 is 43519501.

It is a super-2 number, since 2×105915340² = 22436118494631200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105915299 and 105915308.

It is not an unprimeable number, because it can be changed into a prime (105915347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279271 + ... + 279649.

It is an arithmetic number, because the mean of its divisors is an integer number (4728150).

Almost surely, 2^105915340 is an apocalyptic number.

105915340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105915340 is an abundant number, since it is smaller than the sum of its proper divisors (121035860).

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

105915340 is a wasteful number, since it uses less digits than its factorization.

105915340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 105915340 is about 10291.5178666706. The cubic root of 105915340 is about 473.1363206197.

It can be divided in two parts, 10591 and 5340, that added together give a triangular number (15931 = T₁₇₈).

The spelling of 105915340 in words is "one hundred five million, nine hundred fifteen thousand, three hundred forty".