100518681 has 16 divisors (see below), whose sum is σ = 135792000. Its totient is φ = 66135168.

The previous prime is 100518679. The next prime is 100518697. The reversal of 100518681 is 186815001.

100518681 = 464² + 465² + ... + 737².

It is a happy number.

It is not a de Polignac number, because 100518681 - 2¹ = 100518679 is a prime.

It is a super-2 number, since 2×100518681² = 20208010459959522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100518641) 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, 81175 + ... + 82403.

It is an arithmetic number, because the mean of its divisors is an integer number (8487000).

Almost surely, 2^100518681 is an apocalyptic number.

It is an amenable number.

100518681 is a deficient number, since it is larger than the sum of its proper divisors (35273319).

100518681 is a wasteful number, since it uses less digits than its factorization.

100518681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568.

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 100518681 is about 10025.9005081838. The cubic root of 100518681 is about 464.9600011843.

The spelling of 100518681 in words is "one hundred million, five hundred eighteen thousand, six hundred eighty-one".