106006606160 has 160 divisors (see below), whose sum is σ = 303955545600. Its totient is φ = 33481488384.

The previous prime is 106006606103. The next prime is 106006606169. The reversal of 106006606160 is 61606600601.

It is a super-2 number, since 2×106006606160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006606169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3647366 + ... + 3676314.

It is an arithmetic number, because the mean of its divisors is an integer number (1899722160).

Almost surely, 2^106006606160 is an apocalyptic number.

106006606160 is a gapful number since it is divisible by the number (10) 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 106006606160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151977772800).

106006606160 is an abundant number, since it is smaller than the sum of its proper divisors (197948939440).

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

106006606160 is a wasteful number, since it uses less digits than its factorization.

106006606160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29485 (or 29479 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 106006606160 in words is "one hundred six billion, six million, six hundred six thousand, one hundred sixty".