1000106105006 has 32 divisors (see below), whose sum is σ = 1585252131840. Its totient is φ = 472434602976.

The previous prime is 1000106104993. The next prime is 1000106105027. The reversal of 1000106105006 is 6005016010001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13328165 + ... + 13402991.

It is an arithmetic number, because the mean of its divisors is an integer number (49539129120).

Almost surely, 2^{1000106105006} is an apocalyptic number.

1000106105006 is a deficient number, since it is larger than the sum of its proper divisors (585146026834).

1000106105006 is a wasteful number, since it uses less digits than its factorization.

1000106105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79808.

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

The spelling of 1000106105006 in words is "one trillion, one hundred six million, one hundred five thousand, six".