10506101005 has 16 divisors (see below), whose sum is σ = 13129614000. Its totient is φ = 8060577280.

The previous prime is 10506100993. The next prime is 10506101009. The reversal of 10506101005 is 50010160501.

It can be written as a sum of positive squares in 8 ways, for example, as 3029731849 + 7476369156 = 55043^2 + 86466^2 .

It is not a de Polignac number, because 10506101005 - 2²³ = 10497712397 is a prime.

It is a super-2 number, since 2×10506101005² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221536 + ... + 264745.

It is an arithmetic number, because the mean of its divisors is an integer number (820600875).

Almost surely, 2^10506101005 is an apocalyptic number.

It is an amenable number.

10506101005 is a deficient number, since it is larger than the sum of its proper divisors (2623512995).

10506101005 is a wasteful number, since it uses less digits than its factorization.

10506101005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486464.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 10506101005 its reverse (50010160501), we get a palindrome (60516261506).

The spelling of 10506101005 in words is "ten billion, five hundred six million, one hundred one thousand, five".