100434000744 has 288 divisors, whose sum is σ = 342531221760. Its totient is φ = 26023092480.

The previous prime is 100434000743. The next prime is 100434000763. The reversal of 100434000744 is 447000434001.

It is not an unprimeable number, because it can be changed into a prime (100434000743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28233814 + ... + 28237370.

It is an arithmetic number, because the mean of its divisors is an integer number (1189344520).

Almost surely, 2^100434000744 is an apocalyptic number.

100434000744 is a gapful number since it is divisible by the number (14) 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 100434000744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171265610880).

100434000744 is an abundant number, since it is smaller than the sum of its proper divisors (242097221016).

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

100434000744 is a wasteful number, since it uses less digits than its factorization.

100434000744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 100434000744 its reverse (447000434001), we get a palindrome (547434434745).

The spelling of 100434000744 in words is "one hundred billion, four hundred thirty-four million, seven hundred forty-four", and thus it is an aban number.