105242202 has 96 divisors (see below), whose sum is σ = 255514896. Its totient is φ = 31104000.

The previous prime is 105242183. The next prime is 105242209. The reversal of 105242202 is 202242501.

It can be written as a sum of positive squares in 8 ways, for example, as 35034561 + 70207641 = 5919^2 + 8379^2 .

It is a super-2 number, since 2×105242202² = 22151842163617608, 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 (105242209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041952 + ... + 1042052.

Almost surely, 2^105242202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105242202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127757448).

105242202 is an abundant number, since it is smaller than the sum of its proper divisors (150272694).

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

105242202 is a wasteful number, since it uses less digits than its factorization.

105242202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 105242202 is about 10258.7622060364. The cubic root of 105242202 is about 472.1318607221.

Adding to 105242202 its reverse (202242501), we get a palindrome (307484703).

The spelling of 105242202 in words is "one hundred five million, two hundred forty-two thousand, two hundred two".