10701041 has 16 divisors (see below), whose sum is σ = 12510288. Its totient is φ = 9062400.

The previous prime is 10701037. The next prime is 10701059. The reversal of 10701041 is 14010701.

10701041 = 629² + 630² + ... + 654².

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 73441 + 10627600 = 271^2 + 3260^2 .

It is a cyclic number.

It is not a de Polignac number, because 10701041 - 2² = 10701037 is a prime.

It is a super-2 number, since 2×10701041² = 229024556967362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10701011) 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 15 ways as a sum of consecutive naturals, for example, 8471 + ... + 9651.

It is an arithmetic number, because the mean of its divisors is an integer number (781893).

Almost surely, 2^10701041 is an apocalyptic number.

It is an amenable number.

10701041 is a deficient number, since it is larger than the sum of its proper divisors (1809247).

10701041 is a wasteful number, since it uses less digits than its factorization.

10701041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252.

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 10701041 is about 3271.2445643822. The cubic root of 10701041 is about 220.3646912650.

Adding to 10701041 its reverse (14010701), we get a palindrome (24711742).

The spelling of 10701041 in words is "ten million, seven hundred one thousand, forty-one".