106615010106 has 96 divisors (see below), whose sum is σ = 271741599360. Its totient is φ = 30902857920.

The previous prime is 106615010093. The next prime is 106615010113. The reversal of 106615010106 is 601010516601.

It is a super-2 number, since 2×106615010106² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106615010106.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 204435 + ... + 504998.

It is an arithmetic number, because the mean of its divisors is an integer number (2830641660).

Almost surely, 2^106615010106 is an apocalyptic number.

106615010106 is an abundant number, since it is smaller than the sum of its proper divisors (165126589254).

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

106615010106 is a wasteful number, since it uses less digits than its factorization.

106615010106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709489 (or 709472 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 106615010106 its reverse (601010516601), we get a palindrome (707625526707).

The spelling of 106615010106 in words is "one hundred six billion, six hundred fifteen million, ten thousand, one hundred six".