10005060105612 has 72 divisors (see below), whose sum is σ = 29711996692560. Its totient is φ = 2798618209920.

The previous prime is 10005060105539. The next prime is 10005060105653. The reversal of 10005060105612 is 21650106050001.

It is a happy number.

10005060105612 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 0 + 601 + 0 + 56 + 1 + 2 = 666.

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, 971737287 + ... + 971747582.

It is an arithmetic number, because the mean of its divisors is an integer number (412666620730).

Almost surely, 2^{10005060105612} is an apocalyptic number.

10005060105612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10005060105612 is an abundant number, since it is smaller than the sum of its proper divisors (19706936586948).

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

10005060105612 is a wasteful number, since it uses less digits than its factorization.

10005060105612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943484903 (or 1943484898 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10005060105612 its reverse (21650106050001), we get a palindrome (31655166155613).

The spelling of 10005060105612 in words is "ten trillion, five billion, sixty million, one hundred five thousand, six hundred twelve".