105404372827837 has 2 divisors, whose sum is σ = 105404372827838. Its totient is φ = 105404372827836.

The previous prime is 105404372827829. The next prime is 105404372827841. The reversal of 105404372827837 is 738728273404501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103368417684676 + 2035955143161 = 10167026^2 + 1426869^2 .

It is a cyclic number.

It is not a de Polignac number, because 105404372827837 - 2³ = 105404372827829 is a prime.

It is a super-2 number, since 2×105404372827837² (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 (105404372827877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52702186413918 + 52702186413919.

It is an arithmetic number, because the mean of its divisors is an integer number (52702186413919).

Almost surely, 2^{105404372827837} is an apocalyptic number.

It is an amenable number.

105404372827837 is a deficient number, since it is larger than the sum of its proper divisors (1).

105404372827837 is an equidigital number, since it uses as much as digits as its factorization.

105404372827837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63221760, while the sum is 61.

The spelling of 105404372827837 in words is "one hundred five trillion, four hundred four billion, three hundred seventy-two million, eight hundred twenty-seven thousand, eight hundred thirty-seven".