110000510009 has 16 divisors (see below), whose sum is σ = 121695402192. Its totient is φ = 98768947968.

The previous prime is 110000510003. The next prime is 110000510017. The reversal of 110000510009 is 900015000011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 45265984 + 109955244025 = 6728^2 + 331595^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000510009 - 2¹² = 110000505913 is a prime.

It is a super-2 number, since 2×110000510009² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110000510003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1960307 + ... + 2015639.

It is an arithmetic number, because the mean of its divisors is an integer number (7605962637).

Almost surely, 2^110000510009 is an apocalyptic number.

It is an amenable number.

110000510009 is a deficient number, since it is larger than the sum of its proper divisors (11694892183).

110000510009 is a wasteful number, since it uses less digits than its factorization.

110000510009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59516.

The product of its (nonzero) digits is 45, while the sum is 17.

The spelling of 110000510009 in words is "one hundred ten billion, five hundred ten thousand, nine".