32034102100 has 432 divisors, whose sum is σ = 95153909760. Its totient is φ = 9088934400.

The previous prime is 32034102053. The next prime is 32034102103. The reversal of 32034102100 is 120143023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32034102103) 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 143 ways as a sum of consecutive naturals, for example, 134033781 + ... + 134034019.

It is an arithmetic number, because the mean of its divisors is an integer number (220263680).

Almost surely, 2^32034102100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32034102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47576954880).

32034102100 is an abundant number, since it is smaller than the sum of its proper divisors (63119807660).

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

32034102100 is a wasteful number, since it uses less digits than its factorization.

32034102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 32034102100 its reverse (120143023), we get a palindrome (32154245123).

The spelling of 32034102100 in words is "thirty-two billion, thirty-four million, one hundred two thousand, one hundred".