100434103040000 has 240 divisors, whose sum is σ = 254120387320800. Its totient is φ = 39665074176000.

The previous prime is 100434103039999. The next prime is 100434103040003. The reversal of 100434103040000 is 40301434001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100434103040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100623392 + ... + 101616608.

It is an arithmetic number, because the mean of its divisors is an integer number (1058834947170).

Almost surely, 2^{100434103040000} is an apocalyptic number.

100434103040000 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 100434103040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127060193660400).

100434103040000 is an abundant number, since it is smaller than the sum of its proper divisors (153686284280800).

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

100434103040000 is an frugal number, since it uses more digits than its factorization.

100434103040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993338 (or 993303 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100434103040000 its reverse (40301434001), we get a palindrome (100474404474001).

The spelling of 100434103040000 in words is "one hundred trillion, four hundred thirty-four billion, one hundred three million, forty thousand".