105241355010 has 48 divisors (see below), whose sum is σ = 298502755200. Its totient is φ = 25513055520.

The previous prime is 105241354991. The next prime is 105241355077. The reversal of 105241355010 is 10553142501.

105241355010 is a `hidden beast` number, since 1 + 0 + 5 + 24 + 135 + 501 + 0 = 666.

It is a super-2 number, since 2×105241355010² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53151210 + ... + 53153189.

It is an arithmetic number, because the mean of its divisors is an integer number (6218807400).

Almost surely, 2^105241355010 is an apocalyptic number.

105241355010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105241355010 is an abundant number, since it is smaller than the sum of its proper divisors (193261400190).

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

105241355010 is a wasteful number, since it uses less digits than its factorization.

105241355010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106304423 (or 106304420 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 105241355010 its reverse (10553142501), we get a palindrome (115794497511).

The spelling of 105241355010 in words is "one hundred five billion, two hundred forty-one million, three hundred fifty-five thousand, ten".