289024512100 has 81 divisors (see below), whose sum is σ = 645036154497. Its totient is φ = 112407799680.

The previous prime is 289024512001. The next prime is 289024512109. The reversal of 289024512100 is 1215420982.

The square root of 289024512100 is 537610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6944555556 + 282079956544 = 83334^2 + 531112^2 .

It is not an unprimeable number, because it can be changed into a prime (289024512109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 198914974 + ... + 198916426.

Almost surely, 2^289024512100 is an apocalyptic number.

289024512100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

289024512100 is the 537610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289024512100

289024512100 is an abundant number, since it is smaller than the sum of its proper divisors (356011642397).

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

289024512100 is an equidigital number, since it uses as much as digits as its factorization.

289024512100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 289024512100 in words is "two hundred eighty-nine billion, twenty-four million, five hundred twelve thousand, one hundred".