105072786 has 96 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 26497152.

The previous prime is 105072749. The next prime is 105072787. The reversal of 105072786 is 687270501.

It is a super-2 number, since 2×105072786² = 22080580715603592, 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 105072786.

It is not an unprimeable number, because it can be changed into a prime (105072787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36280 + ... + 39068.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^105072786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105072786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

105072786 is an abundant number, since it is smaller than the sum of its proper divisors (187408494).

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

105072786 is a wasteful number, since it uses less digits than its factorization.

105072786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 105072786 is about 10250.5017438172. The cubic root of 105072786 is about 471.8783830350.

The spelling of 105072786 in words is "one hundred five million, seventy-two thousand, seven hundred eighty-six".