105366912 has 64 divisors (see below), whose sum is σ = 319872000. Its totient is φ = 30104064.

The previous prime is 105366893. The next prime is 105366917. The reversal of 105366912 is 219663501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105366912² = 22204372288831488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105366917) 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, 16912 + ... + 22287.

It is an arithmetic number, because the mean of its divisors is an integer number (4998000).

Almost surely, 2^105366912 is an apocalyptic number.

105366912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105366912 is an abundant number, since it is smaller than the sum of its proper divisors (214505088).

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

105366912 is an equidigital number, since it uses as much as digits as its factorization.

105366912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39223 (or 39211 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 105366912 is about 10264.8386251319. The cubic root of 105366912 is about 472.3182761888.

The spelling of 105366912 in words is "one hundred five million, three hundred sixty-six thousand, nine hundred twelve".