100127272 has 64 divisors (see below), whose sum is σ = 223626240. Its totient is φ = 41126400.

The previous prime is 100127267. The next prime is 100127281. The reversal of 100127272 is 272721001.

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, 237622 + ... + 238042.

It is an arithmetic number, because the mean of its divisors is an integer number (3494160).

Almost surely, 2^100127272 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 100127272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111813120).

100127272 is an abundant number, since it is smaller than the sum of its proper divisors (123498968).

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

100127272 is a wasteful number, since it uses less digits than its factorization.

100127272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 100127272 is about 10006.3615765172. The cubic root of 100127272 is about 464.3557146459.

Adding to 100127272 its reverse (272721001), we get a palindrome (372848273).

It can be divided in two parts, 1001 and 27272, that multiplied together give a palindrome (27299272).

The spelling of 100127272 in words is "one hundred million, one hundred twenty-seven thousand, two hundred seventy-two".