105133266 has 96 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 28615680.

The previous prime is 105133201. The next prime is 105133271. The reversal of 105133266 is 662331501.

It is a super-2 number, since 2×105133266² = 22106007239653512, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 242586 + ... + 243018.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^105133266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105133266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

105133266 is an abundant number, since it is smaller than the sum of its proper divisors (167849262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105133266 is a wasteful number, since it uses less digits than its factorization.

105133266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 105133266 is about 10253.4514189126. The cubic root of 105133266 is about 471.9689035580.

Adding to 105133266 its reverse (662331501), we get a palindrome (767464767).

The spelling of 105133266 in words is "one hundred five million, one hundred thirty-three thousand, two hundred sixty-six".