1005556010100 has 288 divisors, whose sum is σ = 2974065897600. Its totient is φ = 262275072000.

The previous prime is 1005556010077. The next prime is 1005556010159. The reversal of 1005556010100 is 10106555001.

It is a super-2 number, since 2×1005556010100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1082406436 + ... + 1082407364.

It is an arithmetic number, because the mean of its divisors is an integer number (10326617700).

Almost surely, 2^{1005556010100} is an apocalyptic number.

1005556010100 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 1005556010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487032948800).

1005556010100 is an abundant number, since it is smaller than the sum of its proper divisors (1968509887500).

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

1005556010100 is a wasteful number, since it uses less digits than its factorization.

1005556010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1005556010100 in words is "one trillion, five billion, five hundred fifty-six million, ten thousand, one hundred".