101248272 has 80 divisors (see below), whose sum is σ = 294802560. Its totient is φ = 33264000.

The previous prime is 101248271. The next prime is 101248319. The reversal of 101248272 is 272842101.

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

It is not an unprimeable number, because it can be changed into a prime (101248271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29022 + ... + 32322.

It is an arithmetic number, because the mean of its divisors is an integer number (3685032).

Almost surely, 2^101248272 is an apocalyptic number.

101248272 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 101248272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147401280).

101248272 is an abundant number, since it is smaller than the sum of its proper divisors (193554288).

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

101248272 is a wasteful number, since it uses less digits than its factorization.

101248272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 101248272 is about 10062.2200333724. The cubic root of 101248272 is about 466.0822243729.

It can be divided in two parts, 1012 and 48272, that added together give a square (49284 = 222²).

The spelling of 101248272 in words is "one hundred one million, two hundred forty-eight thousand, two hundred seventy-two".