10106000105100 has 36 divisors (see below), whose sum is σ = 29240026971624. Its totient is φ = 2694933361280.

The previous prime is 10106000105039. The next prime is 10106000105107. The reversal of 10106000105100 is 150100060101.

It is a super-2 number, since 2×10106000105100² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10106000105100.

It is not an unprimeable number, because it can be changed into a prime (10106000105107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16843333209 + ... + 16843333808.

It is an arithmetic number, because the mean of its divisors is an integer number (812222971434).

Almost surely, 2^{10106000105100} is an apocalyptic number.

10106000105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106000105100 is an abundant number, since it is smaller than the sum of its proper divisors (19134026866524).

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

10106000105100 is a wasteful number, since it uses less digits than its factorization.

10106000105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33686667034 (or 33686667027 counting only the distinct ones).

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

Adding to 10106000105100 its reverse (150100060101), we get a palindrome (10256100165201).

The spelling of 10106000105100 in words is "ten trillion, one hundred six billion, one hundred five thousand, one hundred".