105820002 has 24 divisors (see below), whose sum is σ = 242764236. Its totient is φ = 33198336.

The previous prime is 105819991. The next prime is 105820003. The reversal of 105820002 is 200028501.

It can be written as a sum of positive squares in 2 ways, for example, as 88003161 + 17816841 = 9381^2 + 4221^2 .

It is a super-2 number, since 2×105820002² = 22395745646560008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105820003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172603 + ... + 173214.

Almost surely, 2^105820002 is an apocalyptic number.

105820002 is an abundant number, since it is smaller than the sum of its proper divisors (136944234).

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

105820002 is a wasteful number, since it uses less digits than its factorization.

105820002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345842 (or 345839 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105820002 is about 10286.8849512377. The cubic root of 105820002 is about 472.9943159718.

Adding to 105820002 its reverse (200028501), we get a palindrome (305848503).

The spelling of 105820002 in words is "one hundred five million, eight hundred twenty thousand, two".