105768640 has 56 divisors (see below), whose sum is σ = 254386080. Its totient is φ = 41883648.

The previous prime is 105768631. The next prime is 105768653. The reversal of 105768640 is 46867501.

It is a super-2 number, since 2×105768640² = 22374010414899200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105768640.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31356 + ... + 34564.

Almost surely, 2^105768640 is an apocalyptic number.

105768640 is a gapful number since it is divisible by the number (10) 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 105768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127193040).

105768640 is an abundant number, since it is smaller than the sum of its proper divisors (148617440).

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

105768640 is a wasteful number, since it uses less digits than its factorization.

105768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 105768640 is about 10284.3881684814. The cubic root of 105768640 is about 472.9177776199.

The spelling of 105768640 in words is "one hundred five million, seven hundred sixty-eight thousand, six hundred forty".