105849688 has 16 divisors (see below), whose sum is σ = 226820880. Its totient is φ = 45364128.

The previous prime is 105849683. The next prime is 105849713. The reversal of 105849688 is 886948501.

It is a super-2 number, since 2×105849688² = 22408312899394688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105849683) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 945031 + ... + 945142.

It is an arithmetic number, because the mean of its divisors is an integer number (14176305).

Almost surely, 2^105849688 is an apocalyptic number.

It is an amenable number.

105849688 is an abundant number, since it is smaller than the sum of its proper divisors (120971192).

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

105849688 is a wasteful number, since it uses less digits than its factorization.

105849688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890186 (or 1890182 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The square root of 105849688 is about 10288.3277552769. The cubic root of 105849688 is about 473.0385420040.

The spelling of 105849688 in words is "one hundred five million, eight hundred forty-nine thousand, six hundred eighty-eight".