1001006106054 has 32 divisors (see below), whose sum is σ = 2003821797120. Its totient is φ = 333367205472.

The previous prime is 1001006106041. The next prime is 1001006106059. The reversal of 1001006106054 is 4506016001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001006106059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59212167 + ... + 59229069.

It is an arithmetic number, because the mean of its divisors is an integer number (62619431160).

Almost surely, 2^{1001006106054} is an apocalyptic number.

1001006106054 is an abundant number, since it is smaller than the sum of its proper divisors (1002815691066).

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

1001006106054 is a wasteful number, since it uses less digits than its factorization.

1001006106054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25244.

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 1001006106054 in words is "one trillion, one billion, six million, one hundred six thousand, fifty-four".