10041642 has 36 divisors (see below), whose sum is σ = 23566374. Its totient is φ = 3088800.

The previous prime is 10041641. The next prime is 10041643. The reversal of 10041642 is 24614001.

It is an interprime number because it is at equal distance from previous prime (10041641) and next prime (10041643).

It can be written as a sum of positive squares in 3 ways, for example, as 3493161 + 6548481 = 1869^2 + 2559^2 .

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 (10041641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1392 + ... + 4692.

Almost surely, 2^10041642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11783187).

10041642 is an abundant number, since it is smaller than the sum of its proper divisors (13524732).

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

10041642 is a wasteful number, since it uses less digits than its factorization.

10041642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10041642 is about 3168.8549982604. The cubic root of 10041642 is about 215.7421047575.

Adding to 10041642 its reverse (24614001), we get a palindrome (34655643).

The spelling of 10041642 in words is "ten million, forty-one thousand, six hundred forty-two".