105727120 has 20 divisors (see below), whose sum is σ = 245815740. Its totient is φ = 42290816.

The previous prime is 105727117. The next prime is 105727121. The reversal of 105727120 is 21727501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 77721856 = 5292^2 + 8816^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105727120² = 22356447806988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105727121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 660715 + ... + 660874.

It is an arithmetic number, because the mean of its divisors is an integer number (12290787).

Almost surely, 2^105727120 is an apocalyptic number.

105727120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105727120 is an abundant number, since it is smaller than the sum of its proper divisors (140088620).

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

105727120 is a wasteful number, since it uses less digits than its factorization.

105727120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321602 (or 1321596 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 105727120 is about 10282.3693767536. The cubic root of 105727120 is about 472.8558874540.

The spelling of 105727120 in words is "one hundred five million, seven hundred twenty-seven thousand, one hundred twenty".