1005060105500 has 48 divisors (see below), whose sum is σ = 2394601399008. Its totient is φ = 365476400000.

The previous prime is 1005060105481. The next prime is 1005060105629. The reversal of 1005060105500 is 55010605001.

It is a super-2 number, since 2×1005060105500² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91363601 + ... + 91374600.

It is an arithmetic number, because the mean of its divisors is an integer number (49887529146).

Almost surely, 2^{1005060105500} is an apocalyptic number.

1005060105500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005060105500 is an abundant number, since it is smaller than the sum of its proper divisors (1389541293508).

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

1005060105500 is a wasteful number, since it uses less digits than its factorization.

1005060105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182738231 (or 182738219 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 1005060105500 in words is "one trillion, five billion, sixty million, one hundred five thousand, five hundred".