105728920 has 64 divisors (see below), whose sum is σ = 273196800. Its totient is φ = 36420480.

The previous prime is 105728911. The next prime is 105728927. The reversal of 105728920 is 29827501.

It is a super-2 number, since 2×105728920² = 22357209048732800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105728927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2037 + ... + 14683.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2^105728920 is an apocalyptic number.

105728920 is a gapful number since it is divisible by the number (10) 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 105728920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

105728920 is an abundant number, since it is smaller than the sum of its proper divisors (167467880).

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

105728920 is a wasteful number, since it uses less digits than its factorization.

105728920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688 (or 12684 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 105728920 is about 10282.4569048453. The cubic root of 105728920 is about 472.8585708897.

The spelling of 105728920 in words is "one hundred five million, seven hundred twenty-eight thousand, nine hundred twenty".