106213333160 has 128 divisors (see below), whose sum is σ = 263736259200. Its totient is φ = 38175360000.

The previous prime is 106213333157. The next prime is 106213333181. The reversal of 106213333160 is 61333312601.

It is a super-2 number, since 2×106213333160² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 31506275 + ... + 31509645.

It is an arithmetic number, because the mean of its divisors is an integer number (2060439525).

Almost surely, 2^106213333160 is an apocalyptic number.

106213333160 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 106213333160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131868129600).

106213333160 is an abundant number, since it is smaller than the sum of its proper divisors (157522926040).

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

106213333160 is a wasteful number, since it uses less digits than its factorization.

106213333160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 106213333160 its reverse (61333312601), we get a palindrome (167546645761).

The spelling of 106213333160 in words is "one hundred six billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred sixty".