110506401 has 12 divisors (see below), whose sum is σ = 159717012. Its totient is φ = 73626336.

The previous prime is 110506393. The next prime is 110506507. The reversal of 110506401 is 104605011.

It can be written as a sum of positive squares in 2 ways, for example, as 76108176 + 34398225 = 8724^2 + 5865^2 .

It is not a de Polignac number, because 110506401 - 2³ = 110506393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110506301) 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, 19815 + ... + 24771.

It is an arithmetic number, because the mean of its divisors is an integer number (13309751).

Almost surely, 2^110506401 is an apocalyptic number.

It is an amenable number.

110506401 is a deficient number, since it is larger than the sum of its proper divisors (49210611).

110506401 is a wasteful number, since it uses less digits than its factorization.

110506401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 7437 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 110506401 is about 10512.2024809266. The cubic root of 110506401 is about 479.8761268891.

The spelling of 110506401 in words is "one hundred ten million, five hundred six thousand, four hundred one".