100517681 has 16 divisors (see below), whose sum is σ = 111464640. Its totient is φ = 89886720.

The previous prime is 100517663. The next prime is 100517689. The reversal of 100517681 is 186715001.

It is not a de Polignac number, because 100517681 - 2¹⁰ = 100516657 is a prime.

It is a super-2 number, since 2×100517681² = 20207608387235522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100517689) 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, 239690 + ... + 240108.

It is an arithmetic number, because the mean of its divisors is an integer number (6966540).

Almost surely, 2^100517681 is an apocalyptic number.

100517681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100517681 is a deficient number, since it is larger than the sum of its proper divisors (10946959).

100517681 is a wasteful number, since it uses less digits than its factorization.

100517681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736.

The product of its (nonzero) digits is 1680, while the sum is 29.

The square root of 100517681 is about 10025.8506372277. The cubic root of 100517681 is about 464.9584593099.

The spelling of 100517681 in words is "one hundred million, five hundred seventeen thousand, six hundred eighty-one".