100106101105 has 8 divisors (see below), whose sum is σ = 120162030912. Its totient is φ = 80061741168.

The previous prime is 100106101103. The next prime is 100106101187. The reversal of 100106101105 is 501101601001.

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

It is a cyclic number.

It is not a de Polignac number, because 100106101105 - 2¹ = 100106101103 is a prime.

It is a super-3 number, since 3×100106101105³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100106101103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2873419 + ... + 2908048.

It is an arithmetic number, because the mean of its divisors is an integer number (15020253864).

Almost surely, 2^100106101105 is an apocalyptic number.

It is an amenable number.

100106101105 is a deficient number, since it is larger than the sum of its proper divisors (20055929807).

100106101105 is an equidigital number, since it uses as much as digits as its factorization.

100106101105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784935.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 100106101105 its reverse (501101601001), we get a palindrome (601207702106).

The spelling of 100106101105 in words is "one hundred billion, one hundred six million, one hundred one thousand, one hundred five".