105100555101006 has 8 divisors (see below), whose sum is σ = 210201110202024. Its totient is φ = 35033518367000.

The previous prime is 105100555101001. The next prime is 105100555101011. The reversal of 105100555101006 is 600101555001501.

It is an interprime number because it is at equal distance from previous prime (105100555101001) and next prime (105100555101011).

It is a sphenic number, since it is the product of 3 distinct primes.

105100555101006 is an admirable number.

It is a super-2 number, since 2×105100555101006² (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 (105100555101001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8758379591745 + ... + 8758379591756.

It is an arithmetic number, because the mean of its divisors is an integer number (26275138775253).

Almost surely, 2^{105100555101006} is an apocalyptic number.

105100555101006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105100555101006 is a wasteful number, since it uses less digits than its factorization.

105100555101006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17516759183506.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105100555101006 in words is "one hundred five trillion, one hundred billion, five hundred fifty-five million, one hundred one thousand, six".