106106110600 has 288 divisors, whose sum is σ = 294021449280. Its totient is φ = 34881960960.

The previous prime is 106106110573. The next prime is 106106110601. The reversal of 106106110600 is 6011601601.

It is a super-2 number, since 2×106106110600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106106110601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267269602 + ... + 267269998.

It is an arithmetic number, because the mean of its divisors is an integer number (1020907810).

Almost surely, 2^106106110600 is an apocalyptic number.

106106110600 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 106106110600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147010724640).

106106110600 is an abundant number, since it is smaller than the sum of its proper divisors (187915338680).

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

106106110600 is a wasteful number, since it uses less digits than its factorization.

106106110600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 106106110600 in words is "one hundred six billion, one hundred six million, one hundred ten thousand, six hundred".