100663272 has 96 divisors (see below), whose sum is σ = 288100800. Its totient is φ = 31688448.

The previous prime is 100663261. The next prime is 100663291. The reversal of 100663272 is 272366001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147043 + ... + 147725.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 2^100663272 is an apocalyptic number.

100663272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100663272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144050400).

100663272 is an abundant number, since it is smaller than the sum of its proper divisors (187437528).

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

100663272 is a wasteful number, since it uses less digits than its factorization.

100663272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 100663272 is about 10033.1087903999. The cubic root of 100663272 is about 465.1828347956.

The spelling of 100663272 in words is "one hundred million, six hundred sixty-three thousand, two hundred seventy-two".