101327280 has 80 divisors (see below), whose sum is σ = 317241600. Its totient is φ = 26751744.

The previous prime is 101327279. The next prime is 101327297. The reversal of 101327280 is 82723101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101327280.

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, 22671 + ... + 26769.

It is an arithmetic number, because the mean of its divisors is an integer number (3965520).

Almost surely, 2^101327280 is an apocalyptic number.

101327280 is a gapful number since it is divisible by the number (10) 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 101327280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158620800).

101327280 is an abundant number, since it is smaller than the sum of its proper divisors (215914320).

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

101327280 is a wasteful number, since it uses less digits than its factorization.

101327280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 101327280 is about 10066.1452403589. The cubic root of 101327280 is about 466.2034269355.

The spelling of 101327280 in words is "one hundred one million, three hundred twenty-seven thousand, two hundred eighty".