10106100105 has 32 divisors (see below), whose sum is σ = 16443451008. Its totient is φ = 5299008000.

The previous prime is 10106100079. The next prime is 10106100107. The reversal of 10106100105 is 50100160101.

It is not a de Polignac number, because 10106100105 - 2⁵ = 10106100073 is a prime.

It is a super-2 number, since 2×10106100105² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10106100107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513955 + ... + 533255.

It is an arithmetic number, because the mean of its divisors is an integer number (513857844).

Almost surely, 2^10106100105 is an apocalyptic number.

10106100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10106100105 is a deficient number, since it is larger than the sum of its proper divisors (6337350903).

10106100105 is a wasteful number, since it uses less digits than its factorization.

10106100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19897.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10106100105 its reverse (50100160101), we get a palindrome (60206260206).

The spelling of 10106100105 in words is "ten billion, one hundred six million, one hundred thousand, one hundred five".