105068376 has 48 divisors (see below), whose sum is σ = 325213200. Its totient is φ = 30019392.

The previous prime is 105068323. The next prime is 105068387. The reversal of 105068376 is 673860501.

105068376 is a `hidden beast` number, since 1 + 0 + 506 + 83 + 76 = 666.

It is a super-2 number, since 2×105068376² = 22078727270554752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105068376.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 103731 + ... + 104738.

It is an arithmetic number, because the mean of its divisors is an integer number (6775275).

Almost surely, 2^105068376 is an apocalyptic number.

It is an amenable number.

105068376 is an abundant number, since it is smaller than the sum of its proper divisors (220144824).

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

105068376 is a wasteful number, since it uses less digits than its factorization.

105068376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208488 (or 208481 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105068376 is about 10250.2866301387. The cubic root of 105068376 is about 471.8717812216.

The spelling of 105068376 in words is "one hundred five million, sixty-eight thousand, three hundred seventy-six".