100432114116 has 48 divisors (see below), whose sum is σ = 234856364736. Its totient is φ = 33403918464.

The previous prime is 100432114061. The next prime is 100432114147. The reversal of 100432114116 is 611411234001.

It is a happy number.

It is a super-2 number, since 2×100432114116² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11677930 + ... + 11686526.

It is an arithmetic number, because the mean of its divisors is an integer number (4892840932).

Almost surely, 2^100432114116 is an apocalyptic number.

It is an amenable number.

100432114116 is an abundant number, since it is smaller than the sum of its proper divisors (134424250620).

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

100432114116 is a wasteful number, since it uses less digits than its factorization.

100432114116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10628 (or 10626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 100432114116 its reverse (611411234001), we get a palindrome (711843348117).

The spelling of 100432114116 in words is "one hundred billion, four hundred thirty-two million, one hundred fourteen thousand, one hundred sixteen".