105120366 has 24 divisors (see below), whose sum is σ = 227659320. Its totient is φ = 32344416.

The previous prime is 105120361. The next prime is 105120371. The reversal of 105120366 is 663021501.

It is an interprime number because it is at equal distance from previous prime (105120361) and next prime (105120371).

It is a super-2 number, since 2×105120366² = 22100582695947912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105120361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50821 + ... + 52848.

It is an arithmetic number, because the mean of its divisors is an integer number (9485805).

Almost surely, 2^105120366 is an apocalyptic number.

105120366 is an abundant number, since it is smaller than the sum of its proper divisors (122538954).

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

105120366 is a wasteful number, since it uses less digits than its factorization.

105120366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103700 (or 103687 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105120366 is about 10252.8223431404. The cubic root of 105120366 is about 471.9495990184.

Adding to 105120366 its reverse (663021501), we get a palindrome (768141867).

The spelling of 105120366 in words is "one hundred five million, one hundred twenty thousand, three hundred sixty-six".