100171113 has 16 divisors (see below), whose sum is σ = 155523456. Its totient is φ = 56160000.

The previous prime is 100171103. The next prime is 100171117. The reversal of 100171113 is 311171001.

It is not a de Polignac number, because 100171113 - 2⁵ = 100171081 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100171092 and 100171101.

It is not an unprimeable number, because it can be changed into a prime (100171117) 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, 43888 + ... + 46113.

It is an arithmetic number, because the mean of its divisors is an integer number (9720216).

Almost surely, 2^100171113 is an apocalyptic number.

It is an amenable number.

100171113 is a deficient number, since it is larger than the sum of its proper divisors (55352343).

100171113 is an equidigital number, since it uses as much as digits as its factorization.

100171113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90064.

The product of its (nonzero) digits is 21, while the sum is 15.

The square root of 100171113 is about 10008.5519931706. The cubic root of 100171113 is about 464.4234778968.

It can be divided in two parts, 10017 and 1113, that multiplied together give a square (11148921 = 3339²).

The spelling of 100171113 in words is "one hundred million, one hundred seventy-one thousand, one hundred thirteen".