105000768 has 84 divisors (see below), whose sum is σ = 302377348. Its totient is φ = 34836480.

The previous prime is 105000757. The next prime is 105000769. The reversal of 105000768 is 867000501.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 100641024 = 2088^2 + 10032^2 .

It is a super-2 number, since 2×105000768² = 22050322561179648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000769) 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, 242280 + ... + 242712.

Almost surely, 2^105000768 is an apocalyptic number.

105000768 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 105000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151188674).

105000768 is an abundant number, since it is smaller than the sum of its proper divisors (197376580).

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

105000768 is a wasteful number, since it uses less digits than its factorization.

105000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 859 counting only the distinct ones).

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

The square root of 105000768 is about 10246.9882404539. The cubic root of 105000768 is about 471.7705482476.

The spelling of 105000768 in words is "one hundred five million, seven hundred sixty-eight", and thus it is an aban number.