32006104200 has 864 divisors, whose sum is σ = 133966872000. Its totient is φ = 6807628800.

The previous prime is 32006104199. The next prime is 32006104279. The reversal of 32006104200 is 240160023.

It is a happy number.

32006104200 is a `hidden beast` number, since 32 + 0 + 0 + 610 + 4 + 20 + 0 = 666.

It is a super-2 number, since 2×32006104200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 118981666 + ... + 118981934.

It is an arithmetic number, because the mean of its divisors is an integer number (155054250).

Almost surely, 2^32006104200 is an apocalyptic number.

32006104200 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 32006104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66983436000).

32006104200 is an abundant number, since it is smaller than the sum of its proper divisors (101960767800).

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

32006104200 is a wasteful number, since it uses less digits than its factorization.

32006104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32006104200 its reverse (240160023), we get a palindrome (32246264223).

The spelling of 32006104200 in words is "thirty-two billion, six million, one hundred four thousand, two hundred".