100414432144 has 20 divisors (see below), whose sum is σ = 209518575196. Its totient is φ = 46345122432.

The previous prime is 100414432123. The next prime is 100414432163. The reversal of 100414432144 is 441234414001.

It can be written as a sum of positive squares in 2 ways, for example, as 37970419600 + 62444012544 = 194860^2 + 249888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 241380639 + ... + 241381054.

Almost surely, 2^100414432144 is an apocalyptic number.

It is an amenable number.

100414432144 is an abundant number, since it is smaller than the sum of its proper divisors (109104143052).

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

100414432144 is a wasteful number, since it uses less digits than its factorization.

100414432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482761714 (or 482761708 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 100414432144 its reverse (441234414001), we get a palindrome (541648846145).

The spelling of 100414432144 in words is "one hundred billion, four hundred fourteen million, four hundred thirty-two thousand, one hundred forty-four".