1005060106100 has 36 divisors (see below), whose sum is σ = 2182229224224. Its totient is φ = 401793850080.

The previous prime is 1005060106093. The next prime is 1005060106129. The reversal of 1005060106100 is 16010605001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2701832 + ... + 3051231.

Almost surely, 2^{1005060106100} is an apocalyptic number.

1005060106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005060106100 is an abundant number, since it is smaller than the sum of its proper divisors (1177169118124).

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

1005060106100 is a wasteful number, since it uses less digits than its factorization.

1005060106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754824 (or 5754817 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1005060106100 in words is "one trillion, five billion, sixty million, one hundred six thousand, one hundred".