100410442104 has 96 divisors (see below), whose sum is σ = 292300012800. Its totient is φ = 28660201920.

The previous prime is 100410442087. The next prime is 100410442163. The reversal of 100410442104 is 401244014001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156449 + ... + 1240239.

It is an arithmetic number, because the mean of its divisors is an integer number (3044791800).

Almost surely, 2^100410442104 is an apocalyptic number.

100410442104 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 100410442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146150006400).

100410442104 is an abundant number, since it is smaller than the sum of its proper divisors (191889570696).

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

100410442104 is a wasteful number, since it uses less digits than its factorization.

100410442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84833 (or 84822 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100410442104 its reverse (401244014001), we get a palindrome (501654456105).

The spelling of 100410442104 in words is "one hundred billion, four hundred ten million, four hundred forty-two thousand, one hundred four".