105842256 has 80 divisors (see below), whose sum is σ = 298730880. Its totient is φ = 32094720.

The previous prime is 105842249. The next prime is 105842291. The reversal of 105842256 is 652248501.

It is a super-2 number, since 2×105842256² = 22405166310339072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 43110 + ... + 45498.

It is an arithmetic number, because the mean of its divisors is an integer number (3734136).

Almost surely, 2^105842256 is an apocalyptic number.

105842256 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 105842256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149365440).

105842256 is an abundant number, since it is smaller than the sum of its proper divisors (192888624).

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

105842256 is a wasteful number, since it uses less digits than its factorization.

105842256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 105842256 is about 10287.9665629317. The cubic root of 105842256 is about 473.0274706291.

The spelling of 105842256 in words is "one hundred five million, eight hundred forty-two thousand, two hundred fifty-six".