105859048 has 64 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 48115200.

The previous prime is 105859043. The next prime is 105859057. The reversal of 105859048 is 840958501.

It is a super-2 number, since 2×105859048² = 22412276086932608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105859048.

It is not an unprimeable number, because it can be changed into a prime (105859043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294693 + ... + 295051.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^105859048 is an apocalyptic number.

It is an amenable number.

105859048 is an abundant number, since it is smaller than the sum of its proper divisors (111868952).

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

105859048 is a wasteful number, since it uses less digits than its factorization.

105859048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 105859048 is about 10288.7826296409. The cubic root of 105859048 is about 473.0524847636.

It can be divided in two parts, 1058 and 59048, that added together give a palindrome (60106).

The spelling of 105859048 in words is "one hundred five million, eight hundred fifty-nine thousand, forty-eight".