110742561 has 24 divisors (see below), whose sum is σ = 167155560. Its totient is φ = 70560000.

The previous prime is 110742559. The next prime is 110742563. The reversal of 110742561 is 165247011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110742559) and next prime (110742563).

It can be written as a sum of positive squares in 4 ways, for example, as 18870336 + 91872225 = 4344^2 + 9585^2 .

It is not a de Polignac number, because 110742561 - 2¹ = 110742559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110742563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24261 + ... + 28461.

It is an arithmetic number, because the mean of its divisors is an integer number (6964815).

Almost surely, 2^110742561 is an apocalyptic number.

It is an amenable number.

110742561 is a deficient number, since it is larger than the sum of its proper divisors (56412999).

110742561 is a wasteful number, since it uses less digits than its factorization.

110742561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 110742561 is about 10523.4291464332. The cubic root of 110742561 is about 480.2177267456.

Adding to 110742561 its reverse (165247011), we get a palindrome (275989572).

The spelling of 110742561 in words is "one hundred ten million, seven hundred forty-two thousand, five hundred sixty-one".