107764 has 12 divisors (see below), whose sum is σ = 195300. Its totient is φ = 51968.

The previous prime is 107761. The next prime is 107773. The reversal of 107764 is 467701.

It can be written as a sum of positive squares in 2 ways, for example, as 22500 + 85264 = 150^2 + 292^2 .

It is a super-2 number, since 2×107764² = 23226159392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 349 + ... + 580.

It is an arithmetic number, because the mean of its divisors is an integer number (16275).

2¹⁰⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

107764 is a deficient number, since it is larger than the sum of its proper divisors (87536).

107764 is a wasteful number, since it uses less digits than its factorization.

107764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 107764 is about 328.2742755685. The cubic root of 107764 is about 47.5873186094.

The spelling of 107764 in words is "one hundred seven thousand, seven hundred sixty-four".