106608918528 has 680 divisors, whose sum is σ = 385705253120. Its totient is φ = 28665446400.

The previous prime is 106608918469. The next prime is 106608918539. The reversal of 106608918528 is 825819806601.

It is a happy number.

106608918528 is a `hidden beast` number, since 1 + 0 + 6 + 608 + 9 + 1 + 8 + 5 + 28 = 666.

It is a super-2 number, since 2×106608918528² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 706019253 + ... + 706019403.

Almost surely, 2^106608918528 is an apocalyptic number.

106608918528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106608918528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192852626560).

106608918528 is an abundant number, since it is smaller than the sum of its proper divisors (279096334592).

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

106608918528 is an frugal number, since it uses more digits than its factorization.

106608918528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 106608918528 in words is "one hundred six billion, six hundred eight million, nine hundred eighteen thousand, five hundred twenty-eight".