106010010001103 has 12 divisors (see below), whose sum is σ = 114810094654128. Its totient is φ = 97839887333760.

The previous prime is 106010010001069. The next prime is 106010010001141. The reversal of 106010010001103 is 301100010010601.

It is not a de Polignac number, because 106010010001103 - 2⁸ = 106010010000847 is a prime.

It is a super-2 number, since 2×106010010001103² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010010001003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48630650 + ... + 50763767.

It is an arithmetic number, because the mean of its divisors is an integer number (9567507887844).

Almost surely, 2^{106010010001103} is an apocalyptic number.

106010010001103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106010010001103 is a deficient number, since it is larger than the sum of its proper divisors (8800084653025).

106010010001103 is an equidigital number, since it uses as much as digits as its factorization.

106010010001103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99400754 (or 99400741 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 106010010001103 its reverse (301100010010601), we get a palindrome (407110020011704).

The spelling of 106010010001103 in words is "one hundred six trillion, ten billion, ten million, one thousand, one hundred three".