105701797 has 2 divisors, whose sum is σ = 105701798. Its totient is φ = 105701796.

The previous prime is 105701753. The next prime is 105701809. The reversal of 105701797 is 797107501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74632321 + 31069476 = 8639^2 + 5574^2 .

It is a cyclic number.

It is not a de Polignac number, because 105701797 - 2¹⁵ = 105669029 is a prime.

It is a super-2 number, since 2×105701797² = 22345739778058418, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105701707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52850898 + 52850899.

It is an arithmetic number, because the mean of its divisors is an integer number (52850899).

Almost surely, 2^105701797 is an apocalyptic number.

It is an amenable number.

105701797 is a deficient number, since it is larger than the sum of its proper divisors (1).

105701797 is an equidigital number, since it uses as much as digits as its factorization.

105701797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15435, while the sum is 37.

The square root of 105701797 is about 10281.1379234013. The cubic root of 105701797 is about 472.8181327582.

The spelling of 105701797 in words is "one hundred five million, seven hundred one thousand, seven hundred ninety-seven".