101760 has 64 divisors (see below), whose sum is σ = 330480. Its totient is φ = 26624.

The previous prime is 101749. The next prime is 101771. The reversal of 101760 is 67101.

It is a Cunningham number, because it is equal to 319²-1.

It is an interprime number because it is at equal distance from previous prime (101749) and next prime (101771).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

101760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1894 + ... + 1946.

2¹⁰¹⁷⁶⁰ is an apocalyptic number.

101760 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 101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240).

101760 is an abundant number, since it is smaller than the sum of its proper divisors (228720).

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

101760 is an equidigital number, since it uses as much as digits as its factorization.

101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 101760 is about 318.9984325980. The cubic root of 101760 is about 46.6866127887.

Adding to 101760 its reverse (67101), we get a palindrome (168861).

It can be divided in two parts, 101 and 760, that added together give a triangular number (861 = T₄₁).

The spelling of 101760 in words is "one hundred one thousand, seven hundred sixty".