10511105052 has 72 divisors (see below), whose sum is σ = 28552414464. Its totient is φ = 3000828768.

The previous prime is 10511105027. The next prime is 10511105053. The reversal of 10511105052 is 25050111501.

It is a super-2 number, since 2×10511105052² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511105053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832813 + ... + 845339.

It is an arithmetic number, because the mean of its divisors is an integer number (396561312).

Almost surely, 2^10511105052 is an apocalyptic number.

10511105052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10511105052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276207232).

10511105052 is an abundant number, since it is smaller than the sum of its proper divisors (18041309412).

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

10511105052 is a wasteful number, since it uses less digits than its factorization.

10511105052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13975 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 21.

Adding to 10511105052 its reverse (25050111501), we get a palindrome (35561216553).

The spelling of 10511105052 in words is "ten billion, five hundred eleven million, one hundred five thousand, fifty-two".