100131717 has 32 divisors (see below), whose sum is σ = 165521664. Its totient is φ = 52531200.

The previous prime is 100131709. The next prime is 100131749. The reversal of 100131717 is 717131001.

It is not a de Polignac number, because 100131717 - 2³ = 100131709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100131693 and 100131702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131917) 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 31 ways as a sum of consecutive naturals, for example, 11217 + ... + 18057.

It is an arithmetic number, because the mean of its divisors is an integer number (5172552).

Almost surely, 2^100131717 is an apocalyptic number.

100131717 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100131717 is a deficient number, since it is larger than the sum of its proper divisors (65389947).

100131717 is a wasteful number, since it uses less digits than its factorization.

100131717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909.

The product of its (nonzero) digits is 147, while the sum is 21.

The square root of 100131717 is about 10006.5836827561. The cubic root of 100131717 is about 464.3625860026.

Adding to 100131717 its reverse (717131001), we get a palindrome (817262718).

The spelling of 100131717 in words is "one hundred million, one hundred thirty-one thousand, seven hundred seventeen".