105728938897 has 2 divisors, whose sum is σ = 105728938898. Its totient is φ = 105728938896.

The previous prime is 105728938841. The next prime is 105728938927. The reversal of 105728938897 is 798839827501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69841804176 + 35887134721 = 264276^2 + 189439^2 .

It is a cyclic number.

It is not a de Polignac number, because 105728938897 - 2¹¹ = 105728936849 is a prime.

It is a super-2 number, since 2×105728938897² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105728938807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52864469448 + 52864469449.

It is an arithmetic number, because the mean of its divisors is an integer number (52864469449).

Almost surely, 2^105728938897 is an apocalyptic number.

It is an amenable number.

105728938897 is a deficient number, since it is larger than the sum of its proper divisors (1).

105728938897 is an equidigital number, since it uses as much as digits as its factorization.

105728938897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60963840, while the sum is 67.

The spelling of 105728938897 in words is "one hundred five billion, seven hundred twenty-eight million, nine hundred thirty-eight thousand, eight hundred ninety-seven".