105768414 has 12 divisors (see below), whose sum is σ = 229164936. Its totient is φ = 35256132.

The previous prime is 105768413. The next prime is 105768427. The reversal of 105768414 is 414867501.

It is a happy number.

105768414 is a `hidden beast` number, since 1 + 0 + 576 + 84 + 1 + 4 = 666.

It is a super-2 number, since 2×105768414² = 22373914800150792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105768413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2937994 + ... + 2938029.

It is an arithmetic number, because the mean of its divisors is an integer number (19097078).

Almost surely, 2^105768414 is an apocalyptic number.

105768414 is an abundant number, since it is smaller than the sum of its proper divisors (123396522).

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

105768414 is a wasteful number, since it uses less digits than its factorization.

105768414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876031 (or 5876028 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 105768414 is about 10284.3771809478. The cubic root of 105768414 is about 472.9174407857.

The spelling of 105768414 in words is "one hundred five million, seven hundred sixty-eight thousand, four hundred fourteen".