105766104 has 32 divisors (see below), whose sum is σ = 265536000. Its totient is φ = 35105952.

The previous prime is 105766081. The next prime is 105766109. The reversal of 105766104 is 401667501.

It is a super-2 number, since 2×105766104² = 22372937510677632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105766109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3484 + ... + 14955.

It is an arithmetic number, because the mean of its divisors is an integer number (8298000).

Almost surely, 2^105766104 is an apocalyptic number.

It is an amenable number.

105766104 is an abundant number, since it is smaller than the sum of its proper divisors (159769896).

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

105766104 is a wasteful number, since it uses less digits than its factorization.

105766104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18687 (or 18683 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105766104 is about 10284.2648740685. The cubic root of 105766104 is about 472.9139978951.

It can be divided in two parts, 1057 and 66104, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 105766104 in words is "one hundred five million, seven hundred sixty-six thousand, one hundred four".