10005105050010 has 96 divisors (see below), whose sum is σ = 29956397657472. Its totient is φ = 2269424027520.

The previous prime is 10005105049997. The next prime is 10005105050029. The reversal of 10005105050010 is 1005050150001.

10005105050010 is a `hidden beast` number, since 100 + 0 + 5 + 1 + 0 + 50 + 500 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60532429 + ... + 60697488.

It is an arithmetic number, because the mean of its divisors is an integer number (312045808932).

Almost surely, 2^{10005105050010} is an apocalyptic number.

10005105050010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005105050010 is an abundant number, since it is smaller than the sum of its proper divisors (19951292607462).

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

10005105050010 is a wasteful number, since it uses less digits than its factorization.

10005105050010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121230068 (or 121230065 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 10005105050010 in words is "ten trillion, five billion, one hundred five million, fifty thousand, ten".