105959862 has 12 divisors (see below), whose sum is σ = 229579740. Its totient is φ = 35319948.

The previous prime is 105959851. The next prime is 105959921. The reversal of 105959862 is 268959501.

105959862 is a `hidden beast` number, since 1 + 0 + 59 + 598 + 6 + 2 = 666.

It is a super-3 number, since 3×105959862³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2943312 + ... + 2943347.

It is an arithmetic number, because the mean of its divisors is an integer number (19131645).

Almost surely, 2^105959862 is an apocalyptic number.

105959862 is an abundant number, since it is smaller than the sum of its proper divisors (123619878).

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

105959862 is a wasteful number, since it uses less digits than its factorization.

105959862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886667 (or 5886664 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 105959862 is about 10293.6806828267. The cubic root of 105959862 is about 473.2026063417.

The spelling of 105959862 in words is "one hundred five million, nine hundred fifty-nine thousand, eight hundred sixty-two".