10500100 has 72 divisors (see below), whose sum is σ = 25264008. Its totient is φ = 3763200.

The previous prime is 10500089. The next prime is 10500107. The reversal of 10500100 is 100501.

It can be written as a sum of positive squares in 12 ways, for example, as 4260096 + 6240004 = 2064^2 + 2498^2 .

It is a super-2 number, since 2×10500100² = 220504200020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500107) 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, 53202 + ... + 53398.

It is an arithmetic number, because the mean of its divisors is an integer number (350889).

Almost surely, 2^10500100 is an apocalyptic number.

10500100 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 10500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632004).

10500100 is an abundant number, since it is smaller than the sum of its proper divisors (14763908).

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

10500100 is a wasteful number, since it uses less digits than its factorization.

10500100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 10500100 is about 3240.3857795022. The cubic root of 10500100 is about 218.9766521540.

Adding to 10500100 its reverse (100501), we get a palindrome (10600601).

The spelling of 10500100 in words is "ten million, five hundred thousand, one hundred".