32106301312 has 64 divisors (see below), whose sum is σ = 67185653760. Its totient is φ = 15253286400.

The previous prime is 32106301291. The next prime is 32106301313. The reversal of 32106301312 is 21310360123.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32106301313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 408433 + ... + 480655.

It is an arithmetic number, because the mean of its divisors is an integer number (1049775840).

Almost surely, 2^32106301312 is an apocalyptic number.

32106301312 is a gapful number since it is divisible by the number (32) 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 32106301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33592826880).

32106301312 is an abundant number, since it is smaller than the sum of its proper divisors (35079352448).

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

32106301312 is a wasteful number, since it uses less digits than its factorization.

32106301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72411 (or 72399 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 32106301312 its reverse (21310360123), we get a palindrome (53416661435).

The spelling of 32106301312 in words is "thirty-two billion, one hundred six million, three hundred one thousand, three hundred twelve".