105561240210 has 48 divisors (see below), whose sum is σ = 275552746560. Its totient is φ = 28037508000.

The previous prime is 105561240203. The next prime is 105561240227. The reversal of 105561240210 is 12042165501.

105561240210 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 612 + 40 + 2 + 1 + 0 = 666.

It is a super-2 number, since 2×105561240210² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2313870 + ... + 2359049.

It is an arithmetic number, because the mean of its divisors is an integer number (5740682220).

Almost surely, 2^105561240210 is an apocalyptic number.

105561240210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105561240210 is an abundant number, since it is smaller than the sum of its proper divisors (169991506350).

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

105561240210 is a wasteful number, since it uses less digits than its factorization.

105561240210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673183 (or 4673180 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 105561240210 in words is "one hundred five billion, five hundred sixty-one million, two hundred forty thousand, two hundred ten".