10605051005101 has 48 divisors (see below), whose sum is σ = 13021124865840. Its totient is φ = 8600101171200.

The previous prime is 10605051005083. The next prime is 10605051005113. The reversal of 10605051005101 is 10150015050601.

It can be written as a sum of positive squares in 8 ways, for example, as 753205279876 + 9851845725225 = 867874^2 + 3138765^2 .

It is not a de Polignac number, because 10605051005101 - 2⁹ = 10605051004589 is a prime.

It is a super-2 number, since 2×10605051005101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605051005201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13540651 + ... + 14302423.

It is an arithmetic number, because the mean of its divisors is an integer number (271273434705).

Almost surely, 2^{10605051005101} is an apocalyptic number.

It is an amenable number.

10605051005101 is a deficient number, since it is larger than the sum of its proper divisors (2416073860739).

10605051005101 is a wasteful number, since it uses less digits than its factorization.

10605051005101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762014 (or 762007 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 10605051005101 its reverse (10150015050601), we get a palindrome (20755066055702).

The spelling of 10605051005101 in words is "ten trillion, six hundred five billion, fifty-one million, five thousand, one hundred one".