105542334501173 has 2 divisors, whose sum is σ = 105542334501174. Its totient is φ = 105542334501172.

The previous prime is 105542334501161. The next prime is 105542334501281. The reversal of 105542334501173 is 371105433245501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103378605295729 + 2163729205444 = 10167527^2 + 1470962^2 .

It is a cyclic number.

It is not a de Polignac number, because 105542334501173 - 2⁴⁴ = 87950148456757 is a prime.

It is a super-2 number, since 2×105542334501173² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105542334501133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52771167250586 + 52771167250587.

It is an arithmetic number, because the mean of its divisors is an integer number (52771167250587).

Almost surely, 2^{105542334501173} is an apocalyptic number.

It is an amenable number.

105542334501173 is a deficient number, since it is larger than the sum of its proper divisors (1).

105542334501173 is an equidigital number, since it uses as much as digits as its factorization.

105542334501173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756000, while the sum is 44.

Adding to 105542334501173 its reverse (371105433245501), we get a palindrome (476647767746674).

The spelling of 105542334501173 in words is "one hundred five trillion, five hundred forty-two billion, three hundred thirty-four million, five hundred one thousand, one hundred seventy-three".