106066116504 has 48 divisors (see below), whose sum is σ = 287330490720. Its totient is φ = 35346991680.

The previous prime is 106066116397. The next prime is 106066116521. The reversal of 106066116504 is 405611660601.

It is a happy number.

It is a super-2 number, since 2×106066116504² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 135054 + ... + 479970.

It is an arithmetic number, because the mean of its divisors is an integer number (5986051890).

Almost surely, 2^106066116504 is an apocalyptic number.

It is an amenable number.

106066116504 is an abundant number, since it is smaller than the sum of its proper divisors (181264374216).

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

106066116504 is a wasteful number, since it uses less digits than its factorization.

106066116504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349200 (or 349193 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106066116504 in words is "one hundred six billion, sixty-six million, one hundred sixteen thousand, five hundred four".