104538000000 has 896 divisors, whose sum is σ = 420744614400. Its totient is φ = 22464000000.

The previous prime is 104537999999. The next prime is 104538000001. The reversal of 104538000000 is 835401.

It is an interprime number because it is at equal distance from previous prime (104537999999) and next prime (104538000001).

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104538000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 797999935 + ... + 798000065.

Almost surely, 2^104538000000 is an apocalyptic number.

104538000000 is a gapful number since it is divisible by the number (10) 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 104538000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210372307200).

104538000000 is an abundant number, since it is smaller than the sum of its proper divisors (316206614400).

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

104538000000 is an frugal number, since it uses more digits than its factorization.

104538000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 104538000000 its reverse (835401), we get a palindrome (104538835401).

The spelling of 104538000000 in words is "one hundred four billion, five hundred thirty-eight million", and thus it is an aban number.