105266249 has 12 divisors (see below), whose sum is σ = 115965360. Its totient is φ = 95482200.

The previous prime is 105266191. The next prime is 105266257. The reversal of 105266249 is 942662501.

It is a happy number.

It is not a de Polignac number, because 105266249 - 2¹² = 105262153 is a prime.

It is a super-2 number, since 2×105266249² = 22161966357060002, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105266269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82982 + ... + 84240.

It is an arithmetic number, because the mean of its divisors is an integer number (9663780).

Almost surely, 2^105266249 is an apocalyptic number.

It is an amenable number.

105266249 is a deficient number, since it is larger than the sum of its proper divisors (10699111).

105266249 is a wasteful number, since it uses less digits than its factorization.

105266249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 105266249 is about 10259.9341615821. The cubic root of 105266249 is about 472.1678174329.

The spelling of 105266249 in words is "one hundred five million, two hundred sixty-six thousand, two hundred forty-nine".