104065744400 has 120 divisors (see below), whose sum is σ = 252638443200. Its totient is φ = 41191027200.

The previous prime is 104065744313. The next prime is 104065744411. The reversal of 104065744400 is 4447560401.

It is a super-2 number, since 2×104065744400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66750821 + ... + 66752379.

It is an arithmetic number, because the mean of its divisors is an integer number (2105320360).

Almost surely, 2^104065744400 is an apocalyptic number.

104065744400 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 104065744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126319221600).

104065744400 is an abundant number, since it is smaller than the sum of its proper divisors (148572698800).

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

104065744400 is a wasteful number, since it uses less digits than its factorization.

104065744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 104065744400 in words is "one hundred four billion, sixty-five million, seven hundred forty-four thousand, four hundred".