32101013106 has 96 divisors (see below), whose sum is σ = 73420888320. Its totient is φ = 10116513792.

The previous prime is 32101013101. The next prime is 32101013107. The reversal of 32101013106 is 60131010123.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (32101013101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22782130 + ... + 22783538.

It is an arithmetic number, because the mean of its divisors is an integer number (764800920).

Almost surely, 2^32101013106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32101013106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36710444160).

32101013106 is an abundant number, since it is smaller than the sum of its proper divisors (41319875214).

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

32101013106 is a wasteful number, since it uses less digits than its factorization.

32101013106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 32101013106 its reverse (60131010123), we get a palindrome (92232023229).

The spelling of 32101013106 in words is "thirty-two billion, one hundred one million, thirteen thousand, one hundred six".