100413142004 has 144 divisors (see below), whose sum is σ = 220761580032. Its totient is φ = 39699652608.

The previous prime is 100413141979. The next prime is 100413142013. The reversal of 100413142004 is 400241314001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49782404 + ... + 49784420.

It is an arithmetic number, because the mean of its divisors is an integer number (1533066528).

Almost surely, 2^100413142004 is an apocalyptic number.

100413142004 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 100413142004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110380790016).

100413142004 is an abundant number, since it is smaller than the sum of its proper divisors (120348438028).

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

100413142004 is a wasteful number, since it uses less digits than its factorization.

100413142004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100413142004 its reverse (400241314001), we get a palindrome (500654456005).

The spelling of 100413142004 in words is "one hundred billion, four hundred thirteen million, one hundred forty-two thousand, four".