106205133312 has 160 divisors (see below), whose sum is σ = 314606381760. Its totient is φ = 35375616000.

The previous prime is 106205133253. The next prime is 106205133323. The reversal of 106205133312 is 213331502601.

106205133312 is a `hidden beast` number, since 1 + 0 + 620 + 5 + 1 + 3 + 3 + 31 + 2 = 666.

It is a super-2 number, since 2×106205133312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31116118 + ... + 31119530.

It is an arithmetic number, because the mean of its divisors is an integer number (1966289886).

Almost surely, 2^106205133312 is an apocalyptic number.

106205133312 is a gapful number since it is divisible by the number (12) 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 106205133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157303190880).

106205133312 is an abundant number, since it is smaller than the sum of its proper divisors (208401248448).

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

106205133312 is an equidigital number, since it uses as much as digits as its factorization.

106205133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 106205133312 its reverse (213331502601), we get a palindrome (319536635913).

The spelling of 106205133312 in words is "one hundred six billion, two hundred five million, one hundred thirty-three thousand, three hundred twelve".