10106041 has 15 divisors (see below), whose sum is σ = 11802553. Its totient is φ = 8646880.

The previous prime is 10106023. The next prime is 10106077. The reversal of 10106041 is 14060101.

The square root of 10106041 is 3179.

It is a perfect power (a square), and thus also a powerful number.

10106041 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3136441 + 6969600 = 1771^2 + 2640^2 .

It is not a de Polignac number, because 10106041 - 2⁷ = 10105913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10106021) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 594465 + ... + 594481.

Almost surely, 2^10106041 is an apocalyptic number.

10106041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10106041 is the 3179-th square number.

10106041 is the 1590-th centered octagonal number.

It is an amenable number.

10106041 is a deficient number, since it is larger than the sum of its proper divisors (1696512).

10106041 is an frugal number, since it uses more digits than its factorization.

10106041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The cubic root of 10106041 is about 216.2023210064.

Adding to 10106041 its reverse (14060101), we get a palindrome (24166142).

It can be divided in two parts, 101060 and 41, that added together give a palindrome (101101).

The spelling of 10106041 in words is "ten million, one hundred six thousand, forty-one".