100116045 has 12 divisors (see below), whose sum is σ = 173534556. Its totient is φ = 53395200.

The previous prime is 100116041. The next prime is 100116089. The reversal of 100116045 is 540611001.

It can be written as a sum of positive squares in 2 ways, for example, as 67420521 + 32695524 = 8211^2 + 5718^2 .

It is not a de Polignac number, because 100116045 - 2² = 100116041 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100116041) 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 11 ways as a sum of consecutive naturals, for example, 1112356 + ... + 1112445.

It is an arithmetic number, because the mean of its divisors is an integer number (14461213).

Almost surely, 2^100116045 is an apocalyptic number.

100116045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100116045 is a deficient number, since it is larger than the sum of its proper divisors (73418511).

100116045 is a wasteful number, since it uses less digits than its factorization.

100116045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224812 (or 2224809 counting only the distinct ones).

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

The square root of 100116045 is about 10005.8005676707. The cubic root of 100116045 is about 464.3383583473.

Adding to 100116045 its reverse (540611001), we get a palindrome (640727046).

The spelling of 100116045 in words is "one hundred million, one hundred sixteen thousand, forty-five".