10506110508 has 60 divisors (see below), whose sum is σ = 27508439112. Its totient is φ = 3496504320.

The previous prime is 10506110501. The next prime is 10506110533. The reversal of 10506110508 is 80501160501.

It is a super-2 number, since 2×10506110508² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10506110501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 182391 + ... + 232977.

Almost surely, 2^10506110508 is an apocalyptic number.

10506110508 is a gapful number since it is divisible by the number (18) 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 10506110508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754219556).

10506110508 is an abundant number, since it is smaller than the sum of its proper divisors (17002328604).

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

10506110508 is a wasteful number, since it uses less digits than its factorization.

10506110508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51244 (or 51233 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 10506110508 in words is "ten billion, five hundred six million, one hundred ten thousand, five hundred eight".