10516111242 has 64 divisors (see below), whose sum is σ = 26041042944. Its totient is φ = 2756848320.

The previous prime is 10516111237. The next prime is 10516111259. The reversal of 10516111242 is 24211161501.

It is a super-2 number, since 2×10516111242² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33517 + ... + 148847.

It is an arithmetic number, because the mean of its divisors is an integer number (406891296).

Almost surely, 2^10516111242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10516111242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020521472).

10516111242 is an abundant number, since it is smaller than the sum of its proper divisors (15524931702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10516111242 is a wasteful number, since it uses less digits than its factorization.

10516111242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115523.

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 10516111242 its reverse (24211161501), we get a palindrome (34727272743).

It can be divided in two parts, 105161 and 11242, that added together give a triangular number (116403 = T₄₈₂).

The spelling of 10516111242 in words is "ten billion, five hundred sixteen million, one hundred eleven thousand, two hundred forty-two".