110138769 has 24 divisors (see below), whose sum is σ = 171690792. Its totient is φ = 67633920.

The previous prime is 110138741. The next prime is 110138771. The reversal of 110138769 is 967831011.

It can be written as a sum of positive squares in 4 ways, for example, as 140625 + 109998144 = 375^2 + 10488^2 .

It is not a de Polignac number, because 110138769 - 2⁷ = 110138641 is a prime.

It is a super-2 number, since 2×110138769² = 24261096873670722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110139769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88419 + ... + 89655.

It is an arithmetic number, because the mean of its divisors is an integer number (7153783).

Almost surely, 2^110138769 is an apocalyptic number.

It is an amenable number.

110138769 is a deficient number, since it is larger than the sum of its proper divisors (61552023).

110138769 is a wasteful number, since it uses less digits than its factorization.

110138769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 110138769 is about 10494.7019490789. The cubic root of 110138769 is about 479.3433860515.

The spelling of 110138769 in words is "one hundred ten million, one hundred thirty-eight thousand, seven hundred sixty-nine".