9103068100 has 243 divisors, whose sum is σ = 24315561543. Its totient is φ = 2949313920.

The previous prime is 9103068083. The next prime is 9103068101. The reversal of 9103068100 is 18603019.

It is a happy number.

The square root of 9103068100 is 95410.

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

9103068100 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 4 ways, for example, as 125126596 + 8977941504 = 11186^2 + 94752^2 .

It is a super-2 number, since 2×9103068100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (9103068101) 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 80 ways as a sum of consecutive naturals, for example, 193682277 + ... + 193682323.

Almost surely, 2^9103068100 is an apocalyptic number.

9103068100 is the 95410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9103068100

9103068100 is an abundant number, since it is smaller than the sum of its proper divisors (15212493443).

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

9103068100 is a wasteful number, since it uses less digits than its factorization.

9103068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The cubic root of 9103068100 is about 2087.9940843454.

Multiplying 9103068100 by its product of nonzero digits (1296), we get a square (11797576257600 = 3434760²).

The spelling of 9103068100 in words is "nine billion, one hundred three million, sixty-eight thousand, one hundred".