105612344010 has 96 divisors (see below), whose sum is σ = 275611826880. Its totient is φ = 28058897664.

The previous prime is 105612343987. The next prime is 105612344027. The reversal of 105612344010 is 10443216501.

It is a happy number.

105612344010 is a `hidden beast` number, since 1 + 0 + 5 + 612 + 3 + 4 + 40 + 1 + 0 = 666.

It is a super-2 number, since 2×105612344010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42808797 + ... + 42811263.

It is an arithmetic number, because the mean of its divisors is an integer number (2870956530).

Almost surely, 2^105612344010 is an apocalyptic number.

105612344010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105612344010 is an abundant number, since it is smaller than the sum of its proper divisors (169999482870).

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

105612344010 is a wasteful number, since it uses less digits than its factorization.

105612344010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 105612344010 in words is "one hundred five billion, six hundred twelve million, three hundred forty-four thousand, ten".