105297768 has 48 divisors (see below), whose sum is σ = 288140580. Its totient is φ = 34735104.

The previous prime is 105297767. The next prime is 105297781. The reversal of 105297768 is 867792501.

It can be written as a sum of positive squares in 2 ways, for example, as 94128804 + 11168964 = 9702^2 + 3342^2 .

It is a super-2 number, since 2×105297768² = 22175239891563648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105297761) 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, 555 + ... + 14522.

Almost surely, 2^105297768 is an apocalyptic number.

105297768 is a gapful number since it is divisible by the number (18) 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 105297768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144070290).

105297768 is an abundant number, since it is smaller than the sum of its proper divisors (182842812).

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

105297768 is a wasteful number, since it uses less digits than its factorization.

105297768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15186 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 105297768 is about 10261.4700701215. The cubic root of 105297768 is about 472.2149384949.

The spelling of 105297768 in words is "one hundred five million, two hundred ninety-seven thousand, seven hundred sixty-eight".