105249766 has 8 divisors (see below), whose sum is σ = 160462944. Its totient is φ = 51762120.

The previous prime is 105249763. The next prime is 105249773. The reversal of 105249766 is 667942501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105249766² = 22155026486109512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105249763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 431230 + ... + 431473.

It is an arithmetic number, because the mean of its divisors is an integer number (20057868).

Almost surely, 2^105249766 is an apocalyptic number.

105249766 is a deficient number, since it is larger than the sum of its proper divisors (55213178).

105249766 is an equidigital number, since it uses as much as digits as its factorization.

105249766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862766.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 105249766 is about 10259.1308598731. The cubic root of 105249766 is about 472.1431715201.

The spelling of 105249766 in words is "one hundred five million, two hundred forty-nine thousand, seven hundred sixty-six".