100606000017 has 24 divisors (see below), whose sum is σ = 145412021664. Its totient is φ = 61657244544.

The previous prime is 100605999979. The next prime is 100606000021. The reversal of 100606000017 is 710000606001.

It is not a de Polignac number, because 100606000017 - 2³⁴ = 83426130833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100605999957 and 100606000002.

It is not an unprimeable number, because it can be changed into a prime (100606001017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439143 + ... + 627740.

It is an arithmetic number, because the mean of its divisors is an integer number (6058834236).

Almost surely, 2^100606000017 is an apocalyptic number.

100606000017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100606000017 is a deficient number, since it is larger than the sum of its proper divisors (44806021647).

100606000017 is a wasteful number, since it uses less digits than its factorization.

100606000017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066989 (or 1066946 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 100606000017 its reverse (710000606001), we get a palindrome (810606606018).

The spelling of 100606000017 in words is "one hundred billion, six hundred six million, seventeen", and thus it is an aban number.