10500876100 has 216 divisors, whose sum is σ = 27183136904. Its totient is φ = 3497472000.

The previous prime is 10500876037. The next prime is 10500876101. The reversal of 10500876100 is 167800501.

It is a happy number.

10500876100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5156388864 + 5344487236 = 71808^2 + 73106^2 .

It is a super-2 number, since 2×10500876100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500876101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37909162 + ... + 37909438.

Almost surely, 2^10500876100 is an apocalyptic number.

10500876100 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 10500876100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13591568452).

10500876100 is an abundant number, since it is smaller than the sum of its proper divisors (16682260804).

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

10500876100 is a wasteful number, since it uses less digits than its factorization.

10500876100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 10500876100 in words is "ten billion, five hundred million, eight hundred seventy-six thousand, one hundred".