32121012105 has 224 divisors, whose sum is σ = 71657429760. Its totient is φ = 13453724160.

The previous prime is 32121012041. The next prime is 32121012107. The reversal of 32121012105 is 50121012123.

It is not a de Polignac number, because 32121012105 - 2⁶ = 32121012041 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (32121012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 59373135 + ... + 59373675.

It is an arithmetic number, because the mean of its divisors is an integer number (319899240).

Almost surely, 2^32121012105 is an apocalyptic number.

32121012105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32121012105 is an abundant number, since it is smaller than the sum of its proper divisors (39536417655).

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

32121012105 is a wasteful number, since it uses less digits than its factorization.

32121012105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 32121012105 its sum of digits (18), we get a palindrome (32121012123).

Adding to 32121012105 its reverse (50121012123), we get a palindrome (82242024228).

The spelling of 32121012105 in words is "thirty-two billion, one hundred twenty-one million, twelve thousand, one hundred five".