101275272 has 160 divisors (see below), whose sum is σ = 329313600. Its totient is φ = 28480896.

The previous prime is 101275259. The next prime is 101275297. The reversal of 101275272 is 272572101.

101275272 is a `hidden beast` number, since 10 + 127 + 527 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376354 + ... + 376622.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^101275272 is an apocalyptic number.

101275272 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 101275272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

101275272 is an abundant number, since it is smaller than the sum of its proper divisors (228038328).

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

101275272 is a wasteful number, since it uses less digits than its factorization.

101275272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 101275272 is about 10063.5615961746. The cubic root of 101275272 is about 466.1236509288.

The spelling of 101275272 in words is "one hundred one million, two hundred seventy-five thousand, two hundred seventy-two".