100105105505006 has 32 divisors (see below), whose sum is σ = 179071915138560. Its totient is φ = 41036437211616.

The previous prime is 100105105504889. The next prime is 100105105505011. The reversal of 100105105505006 is 600505501501001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100105105505006.

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, 29434760 + ... + 32659076.

It is an arithmetic number, because the mean of its divisors is an integer number (5595997348080).

Almost surely, 2^{100105105505006} is an apocalyptic number.

100105105505006 is a deficient number, since it is larger than the sum of its proper divisors (78966809633554).

100105105505006 is a wasteful number, since it uses less digits than its factorization.

100105105505006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320768.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 100105105505006 in words is "one hundred trillion, one hundred five billion, one hundred five million, five hundred five thousand, six".