105081264 has 60 divisors (see below), whose sum is σ = 297152856. Its totient is φ = 34661376.

The previous prime is 105081253. The next prime is 105081269. The reversal of 105081264 is 462180501.

It is a super-2 number, since 2×105081264² = 22084144087675392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105081269) 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, 10207 + ... + 17729.

Almost surely, 2^105081264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105081264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148576428).

105081264 is an abundant number, since it is smaller than the sum of its proper divisors (192071592).

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

105081264 is a wasteful number, since it uses less digits than its factorization.

105081264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105081264 is about 10250.9152762083. The cubic root of 105081264 is about 471.8910741655.

The spelling of 105081264 in words is "one hundred five million, eighty-one thousand, two hundred sixty-four".