105124460 has 48 divisors (see below), whose sum is σ = 252915264. Its totient is φ = 35954688.

The previous prime is 105124433. The next prime is 105124463. The reversal of 105124460 is 64421501.

It is a super-2 number, since 2×105124460² = 22102304180583200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105124463) 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, 85772 + ... + 86988.

It is an arithmetic number, because the mean of its divisors is an integer number (5269068).

Almost surely, 2^105124460 is an apocalyptic number.

105124460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105124460 is an abundant number, since it is smaller than the sum of its proper divisors (147790804).

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

105124460 is a wasteful number, since it uses less digits than its factorization.

105124460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 105124460 is about 10253.0219935393. The cubic root of 105124460 is about 471.9557257619.

Adding to 105124460 its reverse (64421501), we get a palindrome (169545961).

The spelling of 105124460 in words is "one hundred five million, one hundred twenty-four thousand, four hundred sixty".