10701 has 12 divisors (see below), whose sum is σ = 16380. Its totient is φ = 6720.

The previous prime is 10691. The next prime is 10709.

10701 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2601 + 8100 = 51^2 + 90^2 .

It is not a de Polignac number, because 10701 - 2^{10} = 9677 is a prime.

It is a super-2 number, since 2×10701^{2} = 229022802, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a cake number, because a cake can be divided into 10701 parts by 40 planar cuts.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 10701.

It is not an unprimeable number, because it can be changed into a prime (10709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

2^{10701} is an apocalyptic number.

It is an amenable number.

10701 is a deficient number, since it is larger than the sum of its proper divisors (5679).

10701 is a wasteful number, since it uses less digits than its factorization.

10701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 10701 is about 103.4456378974. The cubic root of 10701 is about 22.0364409829.

The spelling of 10701 in words is "ten thousand, seven hundred one", and thus it is an iban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.111 sec. • engine limits •