105100117 has 2 divisors, whose sum is σ = 105100118. Its totient is φ = 105100116.

The previous prime is 105100109. The next prime is 105100129. The reversal of 105100117 is 711001501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60824401 + 44275716 = 7799^2 + 6654^2 .

It is a cyclic number.

It is not a de Polignac number, because 105100117 - 2³ = 105100109 is a prime.

It is a super-2 number, since 2×105100117² = 22092069186827378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105100117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105100717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550058 + 52550059.

It is an arithmetic number, because the mean of its divisors is an integer number (52550059).

Almost surely, 2^105100117 is an apocalyptic number.

It is an amenable number.

105100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105100117 is an equidigital number, since it uses as much as digits as its factorization.

105100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 16.

The square root of 105100117 is about 10251.8348113886. The cubic root of 105100117 is about 471.9192936916.

Adding to 105100117 its reverse (711001501), we get a palindrome (816101618).

The spelling of 105100117 in words is "one hundred five million, one hundred thousand, one hundred seventeen".