261116100 has 324 divisors, whose sum is σ = 987936768. Its totient is φ = 57456000.

The previous prime is 261116099. The next prime is 261116117. The reversal of 261116100 is 1611162.

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

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1367005 + ... + 1367195.

Almost surely, 2^261116100 is an apocalyptic number.

261116100 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 261116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493968384).

261116100 is an abundant number, since it is smaller than the sum of its proper divisors (726820668).

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

261116100 is a wasteful number, since it uses less digits than its factorization.

261116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 261116100 is about 16159.0872266969. The cubic root of 261116100 is about 639.1623971002.

Adding to 261116100 its reverse (1611162), we get a palindrome (262727262).

The spelling of 261116100 in words is "two hundred sixty-one million, one hundred sixteen thousand, one hundred".