100403401032 has 192 divisors, whose sum is σ = 312538824000. Its totient is φ = 28798156800.

The previous prime is 100403401031. The next prime is 100403401061. The reversal of 100403401032 is 230104304001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100403400996 and 100403401014.

It is not an unprimeable number, because it can be changed into a prime (100403401031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22404232 + ... + 22408712.

It is an arithmetic number, because the mean of its divisors is an integer number (1627806375).

Almost surely, 2^100403401032 is an apocalyptic number.

100403401032 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 100403401032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156269412000).

100403401032 is an abundant number, since it is smaller than the sum of its proper divisors (212135422968).

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

100403401032 is a wasteful number, since it uses less digits than its factorization.

100403401032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100403401032 its reverse (230104304001), we get a palindrome (330507705033).

The spelling of 100403401032 in words is "one hundred billion, four hundred three million, four hundred one thousand, thirty-two".