105784868 has 24 divisors (see below), whose sum is σ = 211795584. Its totient is φ = 45288000.

The previous prime is 105784867. The next prime is 105784933. The reversal of 105784868 is 868487501.

It is a happy number.

It is a super-2 number, since 2×105784868² = 22380876595554848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105784867) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40193 + ... + 42743.

It is an arithmetic number, because the mean of its divisors is an integer number (8824816).

Almost surely, 2^105784868 is an apocalyptic number.

It is an amenable number.

105784868 is an abundant number, since it is smaller than the sum of its proper divisors (106010716).

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

105784868 is a wasteful number, since it uses less digits than its factorization.

105784868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The square root of 105784868 is about 10285.1771010518. The cubic root of 105784868 is about 472.9419628517.

The spelling of 105784868 in words is "one hundred five million, seven hundred eighty-four thousand, eight hundred sixty-eight".