10506023101 has 16 divisors (see below), whose sum is σ = 12403657728. Its totient is φ = 8708025600.

The previous prime is 10506023063. The next prime is 10506023113. The reversal of 10506023101 is 10132060501.

10506023101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10506023101 - 2¹⁵ = 10505990333 is a prime.

It is a super-2 number, since 2×10506023101² (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 (10506023161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277551 + ... + 313123.

It is an arithmetic number, because the mean of its divisors is an integer number (775228608).

Almost surely, 2^10506023101 is an apocalyptic number.

It is an amenable number.

10506023101 is a deficient number, since it is larger than the sum of its proper divisors (1897634627).

10506023101 is a wasteful number, since it uses less digits than its factorization.

10506023101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36972.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10506023101 its reverse (10132060501), we get a palindrome (20638083602).

The spelling of 10506023101 in words is "ten billion, five hundred six million, twenty-three thousand, one hundred one".