107801 has 8 divisors (see below), whose sum is σ = 116160. Its totient is φ = 99792.

The previous prime is 107791. The next prime is 107827. The reversal of 107801 is 108701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107801 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107801.

It is not an unprimeable number, because it can be changed into a prime (107881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (14520).

2¹⁰⁷⁸⁰¹ is an apocalyptic number.

107801 is the 176-th centered heptagonal number.

It is an amenable number.

107801 is a deficient number, since it is larger than the sum of its proper divisors (8359).

107801 is a wasteful number, since it uses less digits than its factorization.

107801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 107801 is about 328.3306260464. The cubic root of 107801 is about 47.5927642416.

Subtracting 107801 from its reverse (108701), we obtain a square (900 = 30²).

The spelling of 107801 in words is "one hundred seven thousand, eight hundred one".