100268261 has 12 divisors (see below), whose sum is σ = 109403748. Its totient is φ = 91809792.

The previous prime is 100268257. The next prime is 100268281. The reversal of 100268261 is 162862001.

It can be written as a sum of positive squares in 6 ways, for example, as 8702500 + 91565761 = 2950^2 + 9569^2 .

It is not a de Polignac number, because 100268261 - 2² = 100268257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100268261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100268281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6005 + ... + 15381.

It is an arithmetic number, because the mean of its divisors is an integer number (9116979).

Almost surely, 2^100268261 is an apocalyptic number.

It is an amenable number.

100268261 is a deficient number, since it is larger than the sum of its proper divisors (9135487).

100268261 is an equidigital number, since it uses as much as digits as its factorization.

100268261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9448 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 100268261 is about 10013.4040665500. The cubic root of 100268261 is about 464.5735651929.

The spelling of 100268261 in words is "one hundred million, two hundred sixty-eight thousand, two hundred sixty-one".