105085728 has 96 divisors (see below), whose sum is σ = 334393920. Its totient is φ = 31841280.

The previous prime is 105085727. The next prime is 105085733. The reversal of 105085728 is 827580501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105085728² = 22086020458579968, 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 = 105085692 and 105085701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105085723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3976 + ... + 15032.

It is an arithmetic number, because the mean of its divisors is an integer number (3483270).

Almost surely, 2^105085728 is an apocalyptic number.

105085728 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 105085728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167196960).

105085728 is an abundant number, since it is smaller than the sum of its proper divisors (229308192).

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

105085728 is a wasteful number, since it uses less digits than its factorization.

105085728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11087 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 105085728 is about 10251.1330105506. The cubic root of 105085728 is about 471.8977562699.

The spelling of 105085728 in words is "one hundred five million, eighty-five thousand, seven hundred twenty-eight".