101327760 has 200 divisors, whose sum is σ = 370898880. Its totient is φ = 25567488.

The previous prime is 101327753. The next prime is 101327761. The reversal of 101327760 is 67723101.

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 (101327761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122709 + ... + 123531.

Almost surely, 2^101327760 is an apocalyptic number.

101327760 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 101327760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185449440).

101327760 is an abundant number, since it is smaller than the sum of its proper divisors (269571120).

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

101327760 is a wasteful number, since it uses less digits than its factorization.

101327760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 101327760 is about 10066.1690826252. The cubic root of 101327760 is about 466.2041630890.

The spelling of 101327760 in words is "one hundred one million, three hundred twenty-seven thousand, seven hundred sixty".