106031704116 has 288 divisors, whose sum is σ = 286796382208. Its totient is φ = 30296851200.

The previous prime is 106031704091. The next prime is 106031704127. The reversal of 106031704116 is 611407130601.

It is a super-2 number, since 2×106031704116² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702196641 + ... + 702196791.

Almost surely, 2^106031704116 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 106031704116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143398191104).

106031704116 is an abundant number, since it is smaller than the sum of its proper divisors (180764678092).

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

106031704116 is a wasteful number, since it uses less digits than its factorization.

106031704116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 106031704116 its reverse (611407130601), we get a palindrome (717438834717).

The spelling of 106031704116 in words is "one hundred six billion, thirty-one million, seven hundred four thousand, one hundred sixteen".