100434343140 has 144 divisors (see below), whose sum is σ = 320876774400. Its totient is φ = 25357722624.

The previous prime is 100434343111. The next prime is 100434343169. The reversal of 100434343140 is 41343434001.

100434343140 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 343 + 4 + 314 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100434343111) and next prime (100434343169).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6397821 + ... + 6413499.

Almost surely, 2^100434343140 is an apocalyptic number.

100434343140 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 100434343140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160438387200).

100434343140 is an abundant number, since it is smaller than the sum of its proper divisors (220442431260).

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

100434343140 is a wasteful number, since it uses less digits than its factorization.

100434343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17586 (or 17581 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100434343140 its reverse (41343434001), we get a palindrome (141777777141).

The spelling of 100434343140 in words is "one hundred billion, four hundred thirty-four million, three hundred forty-three thousand, one hundred forty".