100408252266 has 64 divisors (see below), whose sum is σ = 255047443200. Its totient is φ = 28683307008.

The previous prime is 100408252261. The next prime is 100408252279. The reversal of 100408252266 is 662252804001.

It is a happy number.

100408252266 is a `hidden beast` number, since 1 + 0 + 0 + 408 + 25 + 226 + 6 = 666.

It is a super-3 number, since 3×100408252266³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100408252266.

It is not an unprimeable number, because it can be changed into a prime (100408252261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2700490 + ... + 2737418.

It is an arithmetic number, because the mean of its divisors is an integer number (3985116300).

Almost surely, 2^100408252266 is an apocalyptic number.

100408252266 is an abundant number, since it is smaller than the sum of its proper divisors (154639190934).

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

100408252266 is a wasteful number, since it uses less digits than its factorization.

100408252266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44140 (or 44134 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 100408252266 in words is "one hundred billion, four hundred eight million, two hundred fifty-two thousand, two hundred sixty-six".