105818076 has 240 divisors, whose sum is σ = 353273536. Its totient is φ = 26873856.

The previous prime is 105818023. The next prime is 105818077. The reversal of 105818076 is 670818501.

105818076 is a `hidden beast` number, since 1 + 0 + 581 + 8 + 0 + 76 = 666.

It is a super-2 number, since 2×105818076² = 22394930416683552, 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 105818076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105818077) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1090860 + ... + 1090956.

Almost surely, 2^105818076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105818076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176636768).

105818076 is an abundant number, since it is smaller than the sum of its proper divisors (247455460).

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

105818076 is a wasteful number, since it uses less digits than its factorization.

105818076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 105818076 is about 10286.7913364664. The cubic root of 105818076 is about 472.9914463423.

The spelling of 105818076 in words is "one hundred five million, eight hundred eighteen thousand, seventy-six".