105344766 has 32 divisors (see below), whose sum is σ = 239086080. Its totient is φ = 34366968.

The previous prime is 105344753. The next prime is 105344773. The reversal of 105344766 is 667443501.

It is a happy number.

It is a super-2 number, since 2×105344766² = 22195039447189512, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105344766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18216 + ... + 23291.

It is an arithmetic number, because the mean of its divisors is an integer number (7471440).

Almost surely, 2^105344766 is an apocalyptic number.

105344766 is an abundant number, since it is smaller than the sum of its proper divisors (133741314).

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

105344766 is a wasteful number, since it uses less digits than its factorization.

105344766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41565 (or 41559 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 105344766 is about 10263.7598374085. The cubic root of 105344766 is about 472.2851832780.

The spelling of 105344766 in words is "one hundred five million, three hundred forty-four thousand, seven hundred sixty-six".