105117401 has 2 divisors, whose sum is σ = 105117402. Its totient is φ = 105117400.

The previous prime is 105117361. The next prime is 105117403. The reversal of 105117401 is 104711501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85581001 + 19536400 = 9251^2 + 4420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105117401 is a prime.

It is a super-2 number, since 2×105117401² = 22099335985989602, which contains 22 as substring.

Together with 105117403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105117403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558700 + 52558701.

It is an arithmetic number, because the mean of its divisors is an integer number (52558701).

Almost surely, 2^105117401 is an apocalyptic number.

It is an amenable number.

105117401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105117401 is an equidigital number, since it uses as much as digits as its factorization.

105117401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 105117401 is about 10252.6777477886. The cubic root of 105117401 is about 471.9451617440.

Adding to 105117401 its reverse (104711501), we get a palindrome (209828902).

The spelling of 105117401 in words is "one hundred five million, one hundred seventeen thousand, four hundred one".