100413020032 has 64 divisors (see below), whose sum is σ = 216802101600. Its totient is φ = 46049163264.

The previous prime is 100413019913. The next prime is 100413020033. The reversal of 100413020032 is 230020314001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100413019988 and 100413020015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413020033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69069 + ... + 453427.

Almost surely, 2^100413020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100413020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108401050800).

100413020032 is an abundant number, since it is smaller than the sum of its proper divisors (116389081568).

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

100413020032 is a wasteful number, since it uses less digits than its factorization.

100413020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384543 (or 384531 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100413020032 its reverse (230020314001), we get a palindrome (330433334033).

The spelling of 100413020032 in words is "one hundred billion, four hundred thirteen million, twenty thousand, thirty-two".