106530930688 has 136 divisors (see below), whose sum is σ = 262242662528. Its totient is φ = 42141745152.

The previous prime is 106530930677. The next prime is 106530930707. The reversal of 106530930688 is 886039035601.

It is a super-2 number, since 2×106530930688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5954845 + ... + 5972707.

Almost surely, 2^106530930688 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 106530930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131121331264).

106530930688 is an abundant number, since it is smaller than the sum of its proper divisors (155711731840).

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

106530930688 is an frugal number, since it uses more digits than its factorization.

106530930688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17915 (or 17885 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 106530930688 in words is "one hundred six billion, five hundred thirty million, nine hundred thirty thousand, six hundred eighty-eight".