105773728 has 48 divisors (see below), whose sum is σ = 222372864. Its totient is φ = 49351680.

The previous prime is 105773719. The next prime is 105773729. The reversal of 105773728 is 827377501.

It is a super-2 number, since 2×105773728² = 22376163070035968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105773729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68323 + ... + 69853.

It is an arithmetic number, because the mean of its divisors is an integer number (4632768).

Almost surely, 2^105773728 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 105773728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111186432).

105773728 is an abundant number, since it is smaller than the sum of its proper divisors (116599136).

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

105773728 is a wasteful number, since it uses less digits than its factorization.

105773728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 105773728 is about 10284.6355307322. The cubic root of 105773728 is about 472.9253607342.

The spelling of 105773728 in words is "one hundred five million, seven hundred seventy-three thousand, seven hundred twenty-eight".