106106010000100 has 72 divisors (see below), whose sum is σ = 251185928759136. Its totient is φ = 38583379200000.

The previous prime is 106106010000079. The next prime is 106106010000101. The reversal of 106106010000100 is 1000010601601.

It is a super-2 number, since 2×106106010000100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106106010000101) 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 23 ways as a sum of consecutive naturals, for example, 70147780 + ... + 71644420.

It is an arithmetic number, because the mean of its divisors is an integer number (3488693454988).

Almost surely, 2^{106106010000100} is an apocalyptic number.

106106010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106106010000100 is an abundant number, since it is smaller than the sum of its proper divisors (145079918759036).

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

106106010000100 is a wasteful number, since it uses less digits than its factorization.

106106010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561117 (or 1561110 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 106106010000100 its reverse (1000010601601), we get a palindrome (107106020601701).

The spelling of 106106010000100 in words is "one hundred six trillion, one hundred six billion, ten million, one hundred", and thus it is an aban number.