101764 has 24 divisors (see below), whose sum is σ = 203840. Its totient is φ = 44064.

The previous prime is 101749. The next prime is 101771. The reversal of 101764 is 467101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

101764 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, 937 + ... + 1039.

2¹⁰¹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

101764 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101764 is a wasteful number, since it uses less digits than its factorization.

101764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 101764 is about 319.0047021597. The cubic root of 101764 is about 46.6872245025.

101764 divided by its sum of digits (19) gives a triangular number (5356 = T₁₀₃).

Adding to 101764 its reverse (467101), we get a palindrome (568865).

It can be divided in two parts, 10176 and 4, that multiplied together give a palindrome (40704).

The spelling of 101764 in words is "one hundred one thousand, seven hundred sixty-four".