100432432044 has 288 divisors, whose sum is σ = 313351234560. Its totient is φ = 26485056000.

The previous prime is 100432432039. The next prime is 100432432069. The reversal of 100432432044 is 440234234001.

It is a happy number.

100432432044 is a `hidden beast` number, since 10 + 0 + 4 + 324 + 320 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100432431999 and 100432432017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38317054 + ... + 38319674.

It is an arithmetic number, because the mean of its divisors is an integer number (1088025120).

Almost surely, 2^100432432044 is an apocalyptic number.

100432432044 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 100432432044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156675617280).

100432432044 is an abundant number, since it is smaller than the sum of its proper divisors (212918802516).

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

100432432044 is a wasteful number, since it uses less digits than its factorization.

100432432044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 100432432044 its reverse (440234234001), we get a palindrome (540666666045).

The spelling of 100432432044 in words is "one hundred billion, four hundred thirty-two million, four hundred thirty-two thousand, forty-four".