105220290368 has 28 divisors (see below), whose sum is σ = 212335445280. Its totient is φ = 51718445952.

The previous prime is 105220290349. The next prime is 105220290431. The reversal of 105220290368 is 863092022501.

It is a super-2 number, since 2×105220290368² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13928996 + ... + 13936547.

It is an arithmetic number, because the mean of its divisors is an integer number (7583408760).

Almost surely, 2^105220290368 is an apocalyptic number.

It is an amenable number.

105220290368 is an abundant number, since it is smaller than the sum of its proper divisors (107115154912).

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

105220290368 is an equidigital number, since it uses as much as digits as its factorization.

105220290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27865614 (or 27865604 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 105220290368 in words is "one hundred five billion, two hundred twenty million, two hundred ninety thousand, three hundred sixty-eight".