10508300100 has 405 divisors, whose sum is σ = 36733516743. Its totient is φ = 2598013440.

The previous prime is 10508300081. The next prime is 10508300111. The reversal of 10508300100 is 100380501.

It is a happy number.

The square root of 10508300100 is 102510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 245799684 + 10262500416 = 15678^2 + 101304^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×10508300100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 156840267 + ... + 156840333.

Almost surely, 2^10508300100 is an apocalyptic number.

10508300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10508300100 is the 102510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10508300100

10508300100 is an abundant number, since it is smaller than the sum of its proper divisors (26225216643).

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

10508300100 is a wasteful number, since it uses less digits than its factorization.

10508300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10508300100 its reverse (100380501), we get a palindrome (10608680601).

The spelling of 10508300100 in words is "ten billion, five hundred eight million, three hundred thousand, one hundred".