104132044100 has 288 divisors, whose sum is σ = 278832153600. Its totient is φ = 32963673600.

The previous prime is 104132044087. The next prime is 104132044111. The reversal of 104132044100 is 1440231401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102795194 + ... + 102796206.

It is an arithmetic number, because the mean of its divisors is an integer number (968167200).

Almost surely, 2^104132044100 is an apocalyptic number.

104132044100 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 104132044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139416076800).

104132044100 is an abundant number, since it is smaller than the sum of its proper divisors (174700109500).

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

104132044100 is a wasteful number, since it uses less digits than its factorization.

104132044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1236 counting only the distinct ones).

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

Adding to 104132044100 its reverse (1440231401), we get a palindrome (105572275501).

The spelling of 104132044100 in words is "one hundred four billion, one hundred thirty-two million, forty-four thousand, one hundred".