105027460 has 48 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 40279680.

The previous prime is 105027449. The next prime is 105027487. The reversal of 105027460 is 64720501.

It is a super-2 number, since 2×105027460² = 22061534708103200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51541 + ... + 53539.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2^105027460 is an apocalyptic number.

105027460 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 105027460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

105027460 is an abundant number, since it is smaller than the sum of its proper divisors (124796540).

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

105027460 is a wasteful number, since it uses less digits than its factorization.

105027460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 105027460 is about 10248.2905891666. The cubic root of 105027460 is about 471.8105207571.

Adding to 105027460 its reverse (64720501), we get a palindrome (169747961).

The spelling of 105027460 in words is "one hundred five million, twenty-seven thousand, four hundred sixty".