10005005055105 has 48 divisors (see below), whose sum is σ = 17672224579776. Its totient is φ = 5234432112000.

The previous prime is 10005005055103. The next prime is 10005005055119. The reversal of 10005005055105 is 50155050050001.

10005005055105 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 50 + 0 + 505 + 5 + 105 = 666.

It is not a de Polignac number, because 10005005055105 - 2¹ = 10005005055103 is a prime.

It is a super-2 number, since 2×10005005055105² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005005055103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13772230 + ... + 14480480.

It is an arithmetic number, because the mean of its divisors is an integer number (368171345412).

Almost surely, 2^{10005005055105} is an apocalyptic number.

10005005055105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005005055105 is a deficient number, since it is larger than the sum of its proper divisors (7667219524671).

10005005055105 is a wasteful number, since it uses less digits than its factorization.

10005005055105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714238 (or 714235 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 10005005055105 in words is "ten trillion, five billion, five million, fifty-five thousand, one hundred five".