100403414412 has 192 divisors, whose sum is σ = 282949632000. Its totient is φ = 27090835200.

The previous prime is 100403414359. The next prime is 100403414443. The reversal of 100403414412 is 214414304001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116883639 + ... + 116884497.

It is an arithmetic number, because the mean of its divisors is an integer number (1473696000).

Almost surely, 2^100403414412 is an apocalyptic number.

100403414412 is a gapful number since it is divisible by the number (12) 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 100403414412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141474816000).

100403414412 is an abundant number, since it is smaller than the sum of its proper divisors (182546217588).

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

100403414412 is a wasteful number, since it uses less digits than its factorization.

100403414412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100403414412 its reverse (214414304001), we get a palindrome (314817718413).

The spelling of 100403414412 in words is "one hundred billion, four hundred three million, four hundred fourteen thousand, four hundred twelve".