100265238 has 48 divisors (see below), whose sum is σ = 225763200. Its totient is φ = 32121600.

The previous prime is 100265183. The next prime is 100265309. The reversal of 100265238 is 832562001.

100265238 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 652 + 3 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 209083 + ... + 209561.

It is an arithmetic number, because the mean of its divisors is an integer number (4703400).

Almost surely, 2^100265238 is an apocalyptic number.

100265238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100265238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112881600).

100265238 is an abundant number, since it is smaller than the sum of its proper divisors (125497962).

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

100265238 is a wasteful number, since it uses less digits than its factorization.

100265238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100265238 is about 10013.2531177435. The cubic root of 100265238 is about 464.5688963176.

The spelling of 100265238 in words is "one hundred million, two hundred sixty-five thousand, two hundred thirty-eight".