100268805 has 128 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 38191104.

The previous prime is 100268801. The next prime is 100268809. The reversal of 100268805 is 508862001.

It is an interprime number because it is at equal distance from previous prime (100268801) and next prime (100268809).

It is not a de Polignac number, because 100268805 - 2² = 100268801 is a prime.

It is a super-2 number, since 2×100268805² = 20107666512256050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100268801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 672871 + ... + 673019.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^100268805 is an apocalyptic number.

100268805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100268805 is an abundant number, since it is smaller than the sum of its proper divisors (117459195).

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

100268805 is a wasteful number, since it uses less digits than its factorization.

100268805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 100268805 is about 10013.4312301029. The cubic root of 100268805 is about 464.5744053642.

The spelling of 100268805 in words is "one hundred million, two hundred sixty-eight thousand, eight hundred five".