10506110500 has 96 divisors (see below), whose sum is σ = 24754530528. Its totient is φ = 3880448000.

The previous prime is 10506110491. The next prime is 10506110501. The reversal of 10506110500 is 501160501.

It can be written as a sum of positive squares in 16 ways, for example, as 4926916864 + 5579193636 = 70192^2 + 74694^2 .

It is a super-2 number, since 2×10506110500² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 438840 + ... + 462160.

It is an arithmetic number, because the mean of its divisors is an integer number (257859693).

Almost surely, 2^10506110500 is an apocalyptic number.

10506110500 is a gapful number since it is divisible by the number (10) 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 10506110500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12377265264).

10506110500 is an abundant number, since it is smaller than the sum of its proper divisors (14248420028).

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

10506110500 is a wasteful number, since it uses less digits than its factorization.

10506110500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23410 (or 23398 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 10506110500 in words is "ten billion, five hundred six million, one hundred ten thousand, five hundred".