101275552 has 48 divisors (see below), whose sum is σ = 232545600. Its totient is φ = 43399104.

The previous prime is 101275523. The next prime is 101275561. The reversal of 101275552 is 255572101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 101275552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6363 + ... + 15589.

It is an arithmetic number, because the mean of its divisors is an integer number (4844700).

Almost surely, 2^101275552 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 101275552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116272800).

101275552 is an abundant number, since it is smaller than the sum of its proper divisors (131270048).

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

101275552 is an frugal number, since it uses more digits than its factorization.

101275552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 101275552 is about 10063.5755077408. The cubic root of 101275552 is about 466.1240804990.

It can be divided in two parts, 101 and 275552, that added together give a triangular number (275653 = T₇₄₂).

The spelling of 101275552 in words is "one hundred one million, two hundred seventy-five thousand, five hundred fifty-two".