289104314100 has 288 divisors, whose sum is σ = 963838310400. Its totient is φ = 65539315200.

The previous prime is 289104314047. The next prime is 289104314117. The reversal of 289104314100 is 1413401982.

It is a happy number.

It is a congruent number.

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, 191332345 + ... + 191333855.

It is an arithmetic number, because the mean of its divisors is an integer number (3346660800).

Almost surely, 2^289104314100 is an apocalyptic number.

289104314100 is a gapful number since it is divisible by the number (20) 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 289104314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481919155200).

289104314100 is an abundant number, since it is smaller than the sum of its proper divisors (674733996300).

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

289104314100 is a wasteful number, since it uses less digits than its factorization.

289104314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 289104314100 in words is "two hundred eighty-nine billion, one hundred four million, three hundred fourteen thousand, one hundred".