106016600610 has 48 divisors (see below), whose sum is σ = 283092985656. Its totient is φ = 27507009024.

The previous prime is 106016600581. The next prime is 106016600629. The reversal of 106016600610 is 16006610601.

It can be written as a sum of positive squares in 4 ways, for example, as 82990662561 + 23025938049 = 288081^2 + 151743^2 .

It is a super-2 number, since 2×106016600610² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15915079 + ... + 15921738.

Almost surely, 2^106016600610 is an apocalyptic number.

106016600610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106016600610 is an abundant number, since it is smaller than the sum of its proper divisors (177076385046).

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

106016600610 is a wasteful number, since it uses less digits than its factorization.

106016600610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31836867 (or 31836864 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Subtracting from 106016600610 its reverse (16006610601), we obtain a palindrome (90009990009).

The spelling of 106016600610 in words is "one hundred six billion, sixteen million, six hundred thousand, six hundred ten".