106201664688 has 120 divisors (see below), whose sum is σ = 320518222128. Its totient is φ = 30212947968.

The previous prime is 106201664687. The next prime is 106201664747. The reversal of 106201664688 is 886466102601.

It is a super-2 number, since 2×106201664688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (106201664687) by changing a digit.

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, 451120 + ... + 644912.

Almost surely, 2^106201664688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106201664688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160259111064).

106201664688 is an abundant number, since it is smaller than the sum of its proper divisors (214316557440).

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

106201664688 is a wasteful number, since it uses less digits than its factorization.

106201664688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194051 (or 194038 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 106201664688 in words is "one hundred six billion, two hundred one million, six hundred sixty-four thousand, six hundred eighty-eight".