106627678528 has 168 divisors, whose sum is σ = 261875747520. Its totient is φ = 42801131520.

The previous prime is 106627678457. The next prime is 106627678541. The reversal of 106627678528 is 825876726601.

It is a happy number.

106627678528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106627678528² (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 23 ways as a sum of consecutive naturals, for example, 11244093 + ... + 11253571.

Almost surely, 2^106627678528 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 106627678528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130937873760).

106627678528 is an abundant number, since it is smaller than the sum of its proper divisors (155248068992).

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

106627678528 is a wasteful number, since it uses less digits than its factorization.

106627678528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9733 (or 9716 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 106627678528 in words is "one hundred six billion, six hundred twenty-seven million, six hundred seventy-eight thousand, five hundred twenty-eight".