105169797 has 24 divisors (see below), whose sum is σ = 156363480. Its totient is φ = 68075520.

The previous prime is 105169793. The next prime is 105169811. The reversal of 105169797 is 797961501.

It can be written as a sum of positive squares in 4 ways, for example, as 1313316 + 103856481 = 1146^2 + 10191^2 .

It is not a de Polignac number, because 105169797 - 2² = 105169793 is a prime.

It is a super-2 number, since 2×105169797² = 22121372402042418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105169793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94279 + ... + 95387.

It is an arithmetic number, because the mean of its divisors is an integer number (6515145).

Almost surely, 2^105169797 is an apocalyptic number.

It is an amenable number.

105169797 is a deficient number, since it is larger than the sum of its proper divisors (51193683).

105169797 is a wasteful number, since it uses less digits than its factorization.

105169797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 105169797 is about 10255.2326643524. The cubic root of 105169797 is about 472.0235627541.

The spelling of 105169797 in words is "one hundred five million, one hundred sixty-nine thousand, seven hundred ninety-seven".