105135460 has 12 divisors (see below), whose sum is σ = 220784508. Its totient is φ = 42054176.

The previous prime is 105135449. The next prime is 105135523. The reversal of 105135460 is 64531501.

It can be written as a sum of positive squares in 2 ways, for example, as 30382144 + 74753316 = 5512^2 + 8646^2 .

It is a super-3 number, since 3×105135460³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2628367 + ... + 2628406.

It is an arithmetic number, because the mean of its divisors is an integer number (18398709).

Almost surely, 2^105135460 is an apocalyptic number.

105135460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105135460 is an abundant number, since it is smaller than the sum of its proper divisors (115649048).

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

105135460 is a wasteful number, since it uses less digits than its factorization.

105135460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256782 (or 5256780 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 105135460 is about 10253.5584067191. The cubic root of 105135460 is about 471.9721866690.

Adding to 105135460 its reverse (64531501), we get a palindrome (169666961).

The spelling of 105135460 in words is "one hundred five million, one hundred thirty-five thousand, four hundred sixty".