105825768 has 32 divisors (see below), whose sum is σ = 264939360. Its totient is φ = 35225280.

The previous prime is 105825767. The next prime is 105825781. The reversal of 105825768 is 867528501.

It is a super-2 number, since 2×105825768² = 22398186345579648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105825761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16746 + ... + 22182.

It is an arithmetic number, because the mean of its divisors is an integer number (8279355).

Almost surely, 2^105825768 is an apocalyptic number.

It is an amenable number.

105825768 is an abundant number, since it is smaller than the sum of its proper divisors (159113592).

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

105825768 is a wasteful number, since it uses less digits than its factorization.

105825768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 105825768 is about 10287.1652071890. The cubic root of 105825768 is about 473.0029067726.

The spelling of 105825768 in words is "one hundred five million, eight hundred twenty-five thousand, seven hundred sixty-eight".