110649361 has 9 divisors (see below), whose sum is σ = 113045499. Its totient is φ = 108303624.

The previous prime is 110649359. The next prime is 110649391. The reversal of 110649361 is 163946011.

The square root of 110649361 is 10519.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32433025 + 78216336 = 5695^2 + 8844^2 .

It is not a de Polignac number, because 110649361 - 2¹ = 110649359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110649391) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 704695 + ... + 704851.

It is an arithmetic number, because the mean of its divisors is an integer number (12560611).

Almost surely, 2^110649361 is an apocalyptic number.

110649361 is the 10519-th square number.

110649361 is the 5260-th centered octagonal number.

It is an amenable number.

110649361 is a deficient number, since it is larger than the sum of its proper divisors (2396138).

110649361 is an frugal number, since it uses more digits than its factorization.

110649361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The cubic root of 110649361 is about 480.0829732142.

The spelling of 110649361 in words is "one hundred ten million, six hundred forty-nine thousand, three hundred sixty-one".