104903678400 has 168 divisors, whose sum is σ = 344855688240. Its totient is φ = 27918704640.

The previous prime is 104903678357. The next prime is 104903678471. The reversal of 104903678400 is 4876309401.

It is a super-2 number, since 2×104903678400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421732 + ... + 2464668.

It is an arithmetic number, because the mean of its divisors is an integer number (2052712430).

Almost surely, 2^104903678400 is an apocalyptic number.

104903678400 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 104903678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172427844120).

104903678400 is an abundant number, since it is smaller than the sum of its proper divisors (239952009840).

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

104903678400 is a wasteful number, since it uses less digits than its factorization.

104903678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43471 (or 43456 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 104903678400 in words is "one hundred four billion, nine hundred three million, six hundred seventy-eight thousand, four hundred".