260232100 has 72 divisors (see below), whose sum is σ = 589984808. Its totient is φ = 99532800.

The previous prime is 260232061. The next prime is 260232103. The reversal of 260232100 is 1232062.

260232100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 50098084 + 210134016 = 7078^2 + 14496^2 .

It is not an unprimeable number, because it can be changed into a prime (260232103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225124 + ... + 226276.

Almost surely, 2^260232100 is an apocalyptic number.

260232100 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 260232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294992404).

260232100 is an abundant number, since it is smaller than the sum of its proper divisors (329752708).

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

260232100 is a wasteful number, since it uses less digits than its factorization.

260232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 260232100 is about 16131.7110065858. The cubic root of 260232100 is about 638.4402938169.

Adding to 260232100 its reverse (1232062), we get a palindrome (261464162).

The spelling of 260232100 in words is "two hundred sixty million, two hundred thirty-two thousand, one hundred".