107802 has 24 divisors (see below), whose sum is σ = 240084. Its totient is φ = 34944.

The previous prime is 107791. The next prime is 107827. The reversal of 107802 is 208701.

It can be written as a sum of positive squares in 2 ways, for example, as 103041 + 4761 = 321^2 + 69^2 .

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

107802 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 11 ways as a sum of consecutive naturals, for example, 898 + ... + 1010.

2¹⁰⁷⁸⁰² is an apocalyptic number.

107802 is an abundant number, since it is smaller than the sum of its proper divisors (132282).

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

107802 is a wasteful number, since it uses less digits than its factorization.

107802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 107802 is about 328.3321488980. The cubic root of 107802 is about 47.5929114035.

It can be divided in two parts, 107 and 802, that added together give a palindrome (909).

The spelling of 107802 in words is "one hundred seven thousand, eight hundred two".