105716288 has 28 divisors (see below), whose sum is σ = 210426300. Its totient is φ = 52695552.

The previous prime is 105716279. The next prime is 105716297. The reversal of 105716288 is 882617501.

It is an interprime number because it is at equal distance from previous prime (105716279) and next prime (105716297).

It can be written as a sum of positive squares in 2 ways, for example, as 47224384 + 58491904 = 6872^2 + 7648^2 .

It is a super-2 number, since 2×105716288² = 22351867096997888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19970 + ... + 24702.

It is an arithmetic number, because the mean of its divisors is an integer number (7515225).

Almost surely, 2^105716288 is an apocalyptic number.

It is an amenable number.

105716288 is a deficient number, since it is larger than the sum of its proper divisors (104710012).

105716288 is an equidigital number, since it uses as much as digits as its factorization.

105716288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 105716288 is about 10281.8426364149. The cubic root of 105716288 is about 472.8397384915.

The spelling of 105716288 in words is "one hundred five million, seven hundred sixteen thousand, two hundred eighty-eight".