105272776 has 48 divisors (see below), whose sum is σ = 237047040. Its totient is φ = 43656480.

The previous prime is 105272759. The next prime is 105272777. The reversal of 105272776 is 677272501.

It is a super-2 number, since 2×105272776² = 22164714733492352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105272777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7821 + ... + 16483.

It is an arithmetic number, because the mean of its divisors is an integer number (4938480).

Almost surely, 2^105272776 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 105272776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118523520).

105272776 is an abundant number, since it is smaller than the sum of its proper divisors (131774264).

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

105272776 is a wasteful number, since it uses less digits than its factorization.

105272776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 37.

The square root of 105272776 is about 10260.2522386148. The cubic root of 105272776 is about 472.1775761025.

The spelling of 105272776 in words is "one hundred five million, two hundred seventy-two thousand, seven hundred seventy-six".