105291264 has 80 divisors (see below), whose sum is σ = 302136912. Its totient is φ = 32391168.

The previous prime is 105291247. The next prime is 105291271. The reversal of 105291264 is 462192501.

It is a super-3 number, since 3×105291264³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17332 + ... + 22604.

Almost surely, 2^105291264 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 105291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151068456).

105291264 is an abundant number, since it is smaller than the sum of its proper divisors (196845648).

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

105291264 is an equidigital number, since it uses as much as digits as its factorization.

105291264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105291264 is about 10261.1531515712. The cubic root of 105291264 is about 472.2052157525.

The spelling of 105291264 in words is "one hundred five million, two hundred ninety-one thousand, two hundred sixty-four".