32100103200 has 576 divisors, whose sum is σ = 119776333824. Its totient is φ = 7395840000.

The previous prime is 32100103187. The next prime is 32100103201. The reversal of 32100103200 is 230100123.

It is a happy number.

It is a super-3 number, since 3×32100103200³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (32100103201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49922079 + ... + 49922721.

It is an arithmetic number, because the mean of its divisors is an integer number (207945024).

Almost surely, 2^32100103200 is an apocalyptic number.

32100103200 is a gapful number since it is divisible by the number (30) 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 32100103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59888166912).

32100103200 is an abundant number, since it is smaller than the sum of its proper divisors (87676230624).

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

32100103200 is a wasteful number, since it uses less digits than its factorization.

32100103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 32100103200 its reverse (230100123), we get a palindrome (32330203323).

The spelling of 32100103200 in words is "thirty-two billion, one hundred million, one hundred three thousand, two hundred".