100434464440 has 32 divisors (see below), whose sum is σ = 226173980160. Its totient is φ = 40138864000.

The previous prime is 100434464437. The next prime is 100434464443. The reversal of 100434464440 is 44464434001.

It is an interprime number because it is at equal distance from previous prime (100434464437) and next prime (100434464443).

It is a junction number, because it is equal to n+sod(n) for n = 100434464396 and 100434464405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100434464443) 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 7 ways as a sum of consecutive naturals, for example, 1044691 + ... + 1136770.

It is an arithmetic number, because the mean of its divisors is an integer number (7067936880).

Almost surely, 2^100434464440 is an apocalyptic number.

100434464440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100434464440 is an abundant number, since it is smaller than the sum of its proper divisors (125739515720).

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

100434464440 is a wasteful number, since it uses less digits than its factorization.

100434464440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182623 (or 2182619 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 100434464440 its reverse (44464434001), we get a palindrome (144898898441).

The spelling of 100434464440 in words is "one hundred billion, four hundred thirty-four million, four hundred sixty-four thousand, four hundred forty".