10032340040100 has 216 divisors, whose sum is σ = 35974358271488. Its totient is φ = 2290790937600.

The previous prime is 10032340040077. The next prime is 10032340040101. The reversal of 10032340040100 is 104004323001.

10032340040100 is a `hidden beast` number, since 100 + 3 + 23 + 400 + 40 + 100 = 666.

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 (10032340040101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5439852 + ... + 7046748.

Almost surely, 2^{10032340040100} is an apocalyptic number.

10032340040100 is a gapful number since it is divisible by the number (10) 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 10032340040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987179135744).

10032340040100 is an abundant number, since it is smaller than the sum of its proper divisors (25942018231388).

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

10032340040100 is a wasteful number, since it uses less digits than its factorization.

10032340040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607915 (or 1607905 counting only the distinct ones).

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

Adding to 10032340040100 its reverse (104004323001), we get a palindrome (10136344363101).

The spelling of 10032340040100 in words is "ten trillion, thirty-two billion, three hundred forty million, forty thousand, one hundred".