105032613 has 32 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 56206080.

The previous prime is 105032593. The next prime is 105032621. The reversal of 105032613 is 316230501.

It is not a de Polignac number, because 105032613 - 2¹³ = 105024421 is a prime.

It is a super-2 number, since 2×105032613² = 22063699587215538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105032613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105032623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84708 + ... + 85938.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2^105032613 is an apocalyptic number.

It is an amenable number.

105032613 is a deficient number, since it is larger than the sum of its proper divisors (65279067).

105032613 is a wasteful number, since it uses less digits than its factorization.

105032613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 105032613 is about 10248.5419938643. The cubic root of 105032613 is about 471.8182368339.

The spelling of 105032613 in words is "one hundred five million, thirty-two thousand, six hundred thirteen".