10106513 has 4 divisors (see below), whose sum is σ = 10379700. Its totient is φ = 9833328.

The previous prime is 10106507. The next prime is 10106539. The reversal of 10106513 is 31560101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31560101 = 3467 ⋅9103.

It can be written as a sum of positive squares in 2 ways, for example, as 6927424 + 3179089 = 2632^2 + 1783^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106513 - 2¹⁰ = 10105489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10106491 and 10106500.

It is not an unprimeable number, because it can be changed into a prime (10106543) 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 3 ways as a sum of consecutive naturals, for example, 136538 + ... + 136611.

It is an arithmetic number, because the mean of its divisors is an integer number (2594925).

Almost surely, 2^10106513 is an apocalyptic number.

It is an amenable number.

10106513 is a deficient number, since it is larger than the sum of its proper divisors (273187).

10106513 is an equidigital number, since it uses as much as digits as its factorization.

10106513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273186.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 10106513 is about 3179.0742363147. The cubic root of 10106513 is about 216.2056868449.

Adding to 10106513 its reverse (31560101), we get a palindrome (41666614).

It can be divided in two parts, 1010651 and 3, that multiplied together give a triangular number (3031953 = T₂₄₆₂).

The spelling of 10106513 in words is "ten million, one hundred six thousand, five hundred thirteen".