100414304000 has 144 divisors (see below), whose sum is σ = 250601594880. Its totient is φ = 40092364800.

The previous prime is 100414303993. The next prime is 100414304021. The reversal of 100414304000 is 403414001.

It is a self number, because there is not a number n which added to its sum of digits gives 100414304000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19613441 + ... + 19618559.

Almost surely, 2^100414304000 is an apocalyptic number.

100414304000 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 100414304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125300797440).

100414304000 is an abundant number, since it is smaller than the sum of its proper divisors (150187290880).

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

100414304000 is an frugal number, since it uses more digits than its factorization.

100414304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 100414304000 its reverse (403414001), we get a palindrome (100817718001).

The spelling of 100414304000 in words is "one hundred billion, four hundred fourteen million, three hundred four thousand".