289971480100 has 27 divisors (see below), whose sum is σ = 629249797267. Its totient is φ = 115986438080.

The previous prime is 289971480083. The next prime is 289971480101. The reversal of 289971480100 is 1084179982.

The square root of 289971480100 is 538490.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92558326756 + 197413153344 = 304234^2 + 444312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289971480101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5357976 + ... + 5411824.

Almost surely, 2^289971480100 is an apocalyptic number.

289971480100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

289971480100 is the 538490-th square number.

It is an amenable number.

289971480100 is an abundant number, since it is smaller than the sum of its proper divisors (339278317167).

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

289971480100 is an frugal number, since it uses more digits than its factorization.

289971480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107712 (or 53856 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

Multiplying 289971480100 by its sum of digits (49), we get a square (14208602524900 = 3769430²).

The spelling of 289971480100 in words is "two hundred eighty-nine billion, nine hundred seventy-one million, four hundred eighty thousand, one hundred".