261102016 has 56 divisors (see below), whose sum is σ = 593847936. Its totient is φ = 111578880.

The previous prime is 261102011. The next prime is 261102019. The reversal of 261102016 is 610201162.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 261101984 and 261102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261102011) 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 7 ways as a sum of consecutive naturals, for example, 219375 + ... + 220561.

Almost surely, 2^261102016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296923968).

261102016 is an abundant number, since it is smaller than the sum of its proper divisors (332745920).

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

261102016 is a wasteful number, since it uses less digits than its factorization.

261102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 261102016 is about 16158.6514288786. The cubic root of 261102016 is about 639.1509052452.

Adding to 261102016 its reverse (610201162), we get a palindrome (871303178).

The spelling of 261102016 in words is "two hundred sixty-one million, one hundred two thousand, sixteen".