105037117 has 4 divisors (see below), whose sum is σ = 107875996. Its totient is φ = 102198240.

The previous prime is 105037109. The next prime is 105037133. The reversal of 105037117 is 711730501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 711730501 = 2459 ⋅289439.

It can be written as a sum of positive squares in 2 ways, for example, as 65836996 + 39200121 = 8114^2 + 6261^2 .

It is a cyclic number.

It is not a de Polignac number, because 105037117 - 2³ = 105037109 is a prime.

It is a super-2 number, since 2×105037117² = 22065591895343378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105037091 and 105037100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105037817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1419384 + ... + 1419457.

It is an arithmetic number, because the mean of its divisors is an integer number (26968999).

Almost surely, 2^105037117 is an apocalyptic number.

It is an amenable number.

105037117 is a deficient number, since it is larger than the sum of its proper divisors (2838879).

105037117 is an equidigital number, since it uses as much as digits as its factorization.

105037117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838878.

The product of its (nonzero) digits is 735, while the sum is 25.

The square root of 105037117 is about 10248.7617300823. The cubic root of 105037117 is about 471.8249808946.

Adding to 105037117 its reverse (711730501), we get a palindrome (816767618).

The spelling of 105037117 in words is "one hundred five million, thirty-seven thousand, one hundred seventeen".