261100224 has 378 divisors, whose sum is σ = 983606364. Its totient is φ = 65479680.

The previous prime is 261100201. The next prime is 261100237. The reversal of 261100224 is 422001162.

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

It is a junction number, because it is equal to n+sod(n) for n = 261100197 and 261100206.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9003442 + ... + 9003470.

Almost surely, 2^261100224 is an apocalyptic number.

261100224 is a gapful number since it is divisible by the number (24) 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 261100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491803182).

261100224 is an abundant number, since it is smaller than the sum of its proper divisors (722506140).

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

261100224 is a wasteful number, since it uses less digits than its factorization.

261100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 261100224 is about 16158.5959786115. The cubic root of 261100224 is about 639.1494430312.

Adding to 261100224 its reverse (422001162), we get a palindrome (683101386).

The spelling of 261100224 in words is "two hundred sixty-one million, one hundred thousand, two hundred twenty-four".