105427728 has 120 divisors (see below), whose sum is σ = 345561216. Its totient is φ = 29376000.

The previous prime is 105427697. The next prime is 105427771. The reversal of 105427728 is 827724501.

It is a super-2 number, since 2×105427728² = 22230011662483968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105427692 and 105427701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40053 + ... + 42603.

Almost surely, 2^105427728 is an apocalyptic number.

105427728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105427728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172780608).

105427728 is an abundant number, since it is smaller than the sum of its proper divisors (240133488).

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

105427728 is a wasteful number, since it uses less digits than its factorization.

105427728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 105427728 is about 10267.8005434465. The cubic root of 105427728 is about 472.4091300855.

It can be divided in two parts, 1054 and 27728, that added together give a palindrome (28782).

The spelling of 105427728 in words is "one hundred five million, four hundred twenty-seven thousand, seven hundred twenty-eight".