100005117 has 32 divisors (see below), whose sum is σ = 141834240. Its totient is φ = 62599680.

The previous prime is 100005107. The next prime is 100005121. The reversal of 100005117 is 711500001.

It is a de Polignac number, because none of the positive numbers 2^k-100005117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100005096 and 100005105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523492 + ... + 523682.

It is an arithmetic number, because the mean of its divisors is an integer number (4432320).

Almost surely, 2^100005117 is an apocalyptic number.

It is an amenable number.

100005117 is a deficient number, since it is larger than the sum of its proper divisors (41829123).

100005117 is a wasteful number, since it uses less digits than its factorization.

100005117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373.

The product of its (nonzero) digits is 35, while the sum is 15.

The square root of 100005117 is about 10000.2558467271. The cubic root of 100005117 is about 464.1668002296.

Adding to 100005117 its reverse (711500001), we get a palindrome (811505118).

The spelling of 100005117 in words is "one hundred million, five thousand, one hundred seventeen".