100105555101 has 8 divisors (see below), whose sum is σ = 133541731680. Its totient is φ = 66703207632.

The previous prime is 100105555063. The next prime is 100105555103. The reversal of 100105555101 is 101555501001.

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

It is not a de Polignac number, because 100105555101 - 2¹⁹ = 100105030813 is a prime.

It is a super-2 number, since 2×100105555101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105555103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8450371 + ... + 8462208.

It is an arithmetic number, because the mean of its divisors is an integer number (16692716460).

Almost surely, 2^100105555101 is an apocalyptic number.

It is an amenable number.

100105555101 is a deficient number, since it is larger than the sum of its proper divisors (33436176579).

100105555101 is a wasteful number, since it uses less digits than its factorization.

100105555101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16914555.

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 100105555101 in words is "one hundred billion, one hundred five million, five hundred fifty-five thousand, one hundred one".