106006601160 has 192 divisors, whose sum is σ = 358467735600. Its totient is φ = 27135424512.

The previous prime is 106006601053. The next prime is 106006601161. The reversal of 106006601160 is 61106600601.

It can be written as a sum of positive squares in 8 ways, for example, as 69883037316 + 36123563844 = 264354^2 + 190062^2 .

It is a super-3 number, since 3×106006601160³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106006601161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1776774 + ... + 1835466.

Almost surely, 2^106006601160 is an apocalyptic number.

106006601160 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 106006601160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179233867800).

106006601160 is an abundant number, since it is smaller than the sum of its proper divisors (252461134440).

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

106006601160 is a wasteful number, since it uses less digits than its factorization.

106006601160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58912 (or 58905 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 106006601160 in words is "one hundred six billion, six million, six hundred one thousand, one hundred sixty".