103085944900 has 81 divisors (see below), whose sum is σ = 226711346967. Its totient is φ = 40685990400.

The previous prime is 103085944889. The next prime is 103085944901. The reversal of 103085944900 is 9449580301.

It is a happy number.

The square root of 103085944900 is 321070.

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 3790372356 + 99295572544 = 61566^2 + 315112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103085944901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 311437735 + ... + 311438065.

Almost surely, 2^103085944900 is an apocalyptic number.

103085944900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103085944900 is the 321070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103085944900

103085944900 is an abundant number, since it is smaller than the sum of its proper divisors (123625402067).

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

103085944900 is an frugal number, since it uses more digits than its factorization.

103085944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 103085944900 in words is "one hundred three billion, eighty-five million, nine hundred forty-four thousand, nine hundred".