101680 has 40 divisors (see below), whose sum is σ = 249984. Its totient is φ = 38400.

The previous prime is 101663. The next prime is 101681. The reversal of 101680 is 86101.

101680 = T₆₅ + T₆₆ + ... + T₉₅.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101681) by changing a digit.

101680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2460 + ... + 2500.

2¹⁰¹⁶⁸⁰ is an apocalyptic number.

101680 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 101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

101680 is an abundant number, since it is smaller than the sum of its proper divisors (148304).

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

101680 is a wasteful number, since it uses less digits than its factorization.

101680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101680 is about 318.8730154779. The cubic root of 101680 is about 46.6743751439.

Adding to 101680 its reverse (86101), we get a palindrome (187781).

The spelling of 101680 in words is "one hundred one thousand, six hundred eighty".