261852100 has 18 divisors (see below), whose sum is σ = 568219274. Its totient is φ = 104740800.

The previous prime is 261852067. The next prime is 261852113. The reversal of 261852100 is 1258162.

261852100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27394756 + 234457344 = 5234^2 + 15312^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1309161 + ... + 1309360.

Almost surely, 2^261852100 is an apocalyptic number.

261852100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261852100 is an abundant number, since it is smaller than the sum of its proper divisors (306367174).

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

261852100 is a wasteful number, since it uses less digits than its factorization.

261852100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618535 (or 2618528 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 261852100 is about 16181.8447650446. The cubic root of 261852100 is about 639.7623629463.

The spelling of 261852100 in words is "two hundred sixty-one million, eight hundred fifty-two thousand, one hundred".