103169440000 has 405 divisors, whose sum is σ = 286786393509. Its totient is φ = 37002240000.

The previous prime is 103169439931. The next prime is 103169440019. The reversal of 103169440000 is 44961301.

The square root of 103169440000 is 321200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 73176742144 + 29992697856 = 270512^2 + 173184^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 1413279964 + ... + 1413280036.

Almost surely, 2^103169440000 is an apocalyptic number.

103169440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103169440000 is the 321200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103169440000

103169440000 is an abundant number, since it is smaller than the sum of its proper divisors (183616953509).

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

103169440000 is an frugal number, since it uses more digits than its factorization.

103169440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

It can be divided in two parts, 103169 and 440000, that added together give a square (543169 = 737²).

The spelling of 103169440000 in words is "one hundred three billion, one hundred sixty-nine million, four hundred forty thousand".