105004008173 has 2 divisors, whose sum is σ = 105004008174. Its totient is φ = 105004008172.

The previous prime is 105004008127. The next prime is 105004008181. The reversal of 105004008173 is 371800400501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100627259524 + 4376748649 = 317218^2 + 66157^2 .

It is a cyclic number.

It is not a de Polignac number, because 105004008173 - 2²² = 104999813869 is a prime.

It is a super-2 number, since 2×105004008173² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105004004173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502004086 + 52502004087.

It is an arithmetic number, because the mean of its divisors is an integer number (52502004087).

Almost surely, 2^105004008173 is an apocalyptic number.

It is an amenable number.

105004008173 is a deficient number, since it is larger than the sum of its proper divisors (1).

105004008173 is an equidigital number, since it uses as much as digits as its factorization.

105004008173 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 105004008173 its reverse (371800400501), we get a palindrome (476804408674).

The spelling of 105004008173 in words is "one hundred five billion, four million, eight thousand, one hundred seventy-three".