106105050001006 has 24 divisors (see below), whose sum is σ = 193192158479760. Its totient is φ = 43496480123712.

The previous prime is 106105050001001. The next prime is 106105050001019. The reversal of 106105050001006 is 600100050501601.

106105050001006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106105050001006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105050001001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23537054091 + ... + 23537058598.

It is an arithmetic number, because the mean of its divisors is an integer number (8049673269990).

Almost surely, 2^{106105050001006} is an apocalyptic number.

106105050001006 is a deficient number, since it is larger than the sum of its proper divisors (87087108478754).

106105050001006 is a wasteful number, since it uses less digits than its factorization.

106105050001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47074112728 (or 47074112721 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 106105050001006 in words is "one hundred six trillion, one hundred five billion, fifty million, one thousand, six".