10002042 has 40 divisors (see below), whose sum is σ = 23195700. Its totient is φ = 3217536.

The previous prime is 10002029. The next prime is 10002053. The reversal of 10002042 is 24020001.

It can be written as a sum of positive squares in 2 ways, for example, as 9865881 + 136161 = 3141^2 + 369^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3634 + ... + 5762.

Almost surely, 2^10002042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11597850).

10002042 is an abundant number, since it is smaller than the sum of its proper divisors (13193658).

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

10002042 is a wasteful number, since it uses less digits than its factorization.

10002042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10002042 is about 3162.6005122367. The cubic root of 10002042 is about 215.4581325239.

Adding to 10002042 its reverse (24020001), we get a palindrome (34022043).

The spelling of 10002042 in words is "ten million, two thousand, forty-two".