106015912668 has 168 divisors, whose sum is σ = 281952815760. Its totient is φ = 34860430080.

The previous prime is 106015912649. The next prime is 106015912679. The reversal of 106015912668 is 866219510601.

106015912668 is a `hidden beast` number, since 10 + 601 + 5 + 9 + 1 + 26 + 6 + 8 = 666.

It is a super-2 number, since 2×106015912668² (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 (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 89313571 + ... + 89314757.

It is an arithmetic number, because the mean of its divisors is an integer number (1678290570).

Almost surely, 2^106015912668 is an apocalyptic number.

106015912668 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 106015912668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140976407880).

106015912668 is an abundant number, since it is smaller than the sum of its proper divisors (175936903092).

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

106015912668 is a wasteful number, since it uses less digits than its factorization.

106015912668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 106015912668 in words is "one hundred six billion, fifteen million, nine hundred twelve thousand, six hundred sixty-eight".