10613010105 has 48 divisors (see below), whose sum is σ = 18866549520. Its totient is φ = 5515776000.

The previous prime is 10613010103. The next prime is 10613010113. The reversal of 10613010105 is 50101031601.

It can be written as a sum of positive squares in 8 ways, for example, as 698227776 + 9914782329 = 26424^2 + 99573^2 .

It is not a de Polignac number, because 10613010105 - 2¹ = 10613010103 is a prime.

It is a super-2 number, since 2×10613010105² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10613010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1858755 + ... + 1864455.

It is an arithmetic number, because the mean of its divisors is an integer number (393053115).

Almost surely, 2^10613010105 is an apocalyptic number.

10613010105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10613010105 is a deficient number, since it is larger than the sum of its proper divisors (8253539415).

10613010105 is a wasteful number, since it uses less digits than its factorization.

10613010105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10613010105 its reverse (50101031601), we get a palindrome (60714041706).

The spelling of 10613010105 in words is "ten billion, six hundred thirteen million, ten thousand, one hundred five".