104001442600 has 288 divisors, whose sum is σ = 277763070240. Its totient is φ = 35888832000.

The previous prime is 104001442583. The next prime is 104001442609. The reversal of 104001442600 is 6244100401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (104001442609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150508255 + ... + 150508945.

It is an arithmetic number, because the mean of its divisors is an integer number (964455105).

Almost surely, 2^104001442600 is an apocalyptic number.

104001442600 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 104001442600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138881535120).

104001442600 is an abundant number, since it is smaller than the sum of its proper divisors (173761627640).

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

104001442600 is a wasteful number, since it uses less digits than its factorization.

104001442600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 104001442600 in words is "one hundred four billion, one million, four hundred forty-two thousand, six hundred".