105117264 has 100 divisors (see below), whose sum is σ = 347732704. Its totient is φ = 30030912.

The previous prime is 105117217. The next prime is 105117269. The reversal of 105117264 is 462711501.

It is a happy number.

It is a super-2 number, since 2×105117264² = 22099278381691392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105117269) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3279 + ... + 14865.

Almost surely, 2^105117264 is an apocalyptic number.

105117264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105117264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173866352).

105117264 is an abundant number, since it is smaller than the sum of its proper divisors (242615440).

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

105117264 is a wasteful number, since it uses less digits than its factorization.

105117264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11614 (or 11599 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105117264 is about 10252.6710666050. The cubic root of 105117264 is about 471.9449567145.

Adding to 105117264 its reverse (462711501), we get a palindrome (567828765).

The spelling of 105117264 in words is "one hundred five million, one hundred seventeen thousand, two hundred sixty-four".