100249272 has 128 divisors (see below), whose sum is σ = 307929600. Its totient is φ = 30057984.

The previous prime is 100249271. The next prime is 100249313. The reversal of 100249272 is 272942001.

100249272 is a `hidden beast` number, since 100 + 2 + 492 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100249271) 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 31 ways as a sum of consecutive naturals, for example, 83863 + ... + 85049.

It is an arithmetic number, because the mean of its divisors is an integer number (2405700).

Almost surely, 2^100249272 is an apocalyptic number.

100249272 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 100249272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964800).

100249272 is an abundant number, since it is smaller than the sum of its proper divisors (207680328).

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

100249272 is a wasteful number, since it uses less digits than its factorization.

100249272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100249272 is about 10012.4558425993. The cubic root of 100249272 is about 464.5442360569.

The spelling of 100249272 in words is "one hundred million, two hundred forty-nine thousand, two hundred seventy-two".