260342100 has 90 divisors (see below), whose sum is σ = 843952494. Its totient is φ = 69422400.

The previous prime is 260342099. The next prime is 260342107. The reversal of 260342100 is 1243062.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 80030916 + 180311184 = 8946^2 + 13428^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260342107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7971 + ... + 24170.

Almost surely, 2^260342100 is an apocalyptic number.

260342100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260342100 is an abundant number, since it is smaller than the sum of its proper divisors (583610394).

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

260342100 is a wasteful number, since it uses less digits than its factorization.

260342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32167 (or 32151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 260342100 is about 16135.1200801234. The cubic root of 260342100 is about 638.5302372936.

Adding to 260342100 its reverse (1243062), we get a palindrome (261585162).

The spelling of 260342100 in words is "two hundred sixty million, three hundred forty-two thousand, one hundred".