100203272 has 64 divisors (see below), whose sum is σ = 213252480. Its totient is φ = 43794432.

The previous prime is 100203269. The next prime is 100203319. The reversal of 100203272 is 272302001.

It is a self number, because there is not a number n which added to its sum of digits gives 100203272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389768 + ... + 390024.

It is an arithmetic number, because the mean of its divisors is an integer number (3332070).

Almost surely, 2^100203272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100203272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106626240).

100203272 is an abundant number, since it is smaller than the sum of its proper divisors (113049208).

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

100203272 is a wasteful number, since it uses less digits than its factorization.

100203272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 100203272 is about 10010.1584403045. The cubic root of 100203272 is about 464.4731721854.

Adding to 100203272 its reverse (272302001), we get a palindrome (372505273).

The spelling of 100203272 in words is "one hundred million, two hundred three thousand, two hundred seventy-two".