1005556106060 has 96 divisors (see below), whose sum is σ = 2443609824768. Its totient is φ = 343517690880.

The previous prime is 1005556106017. The next prime is 1005556106083. The reversal of 1005556106060 is 606016555001.

It is a super-2 number, since 2×1005556106060² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005556106060.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1800017 + ... + 2291543.

It is an arithmetic number, because the mean of its divisors is an integer number (25454269008).

Almost surely, 2^{1005556106060} is an apocalyptic number.

1005556106060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005556106060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221804912384).

1005556106060 is an abundant number, since it is smaller than the sum of its proper divisors (1438053718708).

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

1005556106060 is a wasteful number, since it uses less digits than its factorization.

1005556106060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492111 (or 492109 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 1005556106060 in words is "one trillion, five billion, five hundred fifty-six million, one hundred six thousand, sixty".