105826120 has 32 divisors (see below), whose sum is σ = 239584320. Its totient is φ = 42068160.

The previous prime is 105826111. The next prime is 105826153. The reversal of 105826120 is 21628501.

It is a super-2 number, since 2×105826120² = 22398335348508800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1596 + ... + 14635.

It is an arithmetic number, because the mean of its divisors is an integer number (7487010).

Almost surely, 2^105826120 is an apocalyptic number.

105826120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105826120 is an abundant number, since it is smaller than the sum of its proper divisors (133758200).

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

105826120 is a wasteful number, since it uses less digits than its factorization.

105826120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16405 (or 16401 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 105826120 is about 10287.1823158725. The cubic root of 105826120 is about 473.0034312096.

The spelling of 105826120 in words is "one hundred five million, eight hundred twenty-six thousand, one hundred twenty".