105732160 has 28 divisors (see below), whose sum is σ = 251775468. Its totient is φ = 42292736.

The previous prime is 105732119. The next prime is 105732161. The reversal of 105732160 is 61237501.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 45265984 = 7776^2 + 6728^2 .

It is a super-2 number, since 2×105732160² = 22358579316531200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105732161) 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, 164887 + ... + 165526.

It is an arithmetic number, because the mean of its divisors is an integer number (8991981).

Almost surely, 2^105732160 is an apocalyptic number.

105732160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105732160 is an abundant number, since it is smaller than the sum of its proper divisors (146043308).

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

105732160 is an equidigital number, since it uses as much as digits as its factorization.

105732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330430 (or 330420 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 105732160 is about 10282.6144535327. The cubic root of 105732160 is about 472.8634009971.

Adding to 105732160 its reverse (61237501), we get a palindrome (166969661).

The spelling of 105732160 in words is "one hundred five million, seven hundred thirty-two thousand, one hundred sixty".