105997268 has 24 divisors (see below), whose sum is σ = 201607560. Its totient is φ = 48470400.

The previous prime is 105997253. The next prime is 105997289. The reversal of 105997268 is 862799501.

It can be written as a sum of positive squares in 4 ways, for example, as 1507984 + 104489284 = 1228^2 + 10222^2 .

It is a super-2 number, since 2×105997268² = 22470841646927648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 3683 + ... + 15018.

It is an arithmetic number, because the mean of its divisors is an integer number (8400315).

Almost surely, 2^105997268 is an apocalyptic number.

It is an amenable number.

105997268 is a deficient number, since it is larger than the sum of its proper divisors (95610292).

105997268 is a wasteful number, since it uses less digits than its factorization.

105997268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18827 (or 18825 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 105997268 is about 10295.4974624833. The cubic root of 105997268 is about 473.2582831923.

The spelling of 105997268 in words is "one hundred five million, nine hundred ninety-seven thousand, two hundred sixty-eight".