103452289600 has 567 divisors, whose sum is σ = 304302867771. Its totient is φ = 34582732800.

The previous prime is 103452289597. The next prime is 103452289601. The reversal of 103452289600 is 6982254301.

The square root of 103452289600 is 321640.

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 2419852864 + 101032436736 = 49192^2 + 317856^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103452289601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2405867179 + ... + 2405867221.

Almost surely, 2^103452289600 is an apocalyptic number.

103452289600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103452289600 is the 321640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103452289600

103452289600 is an abundant number, since it is smaller than the sum of its proper divisors (200850578171).

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

103452289600 is a wasteful number, since it uses less digits than its factorization.

103452289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 103452289600 in words is "one hundred three billion, four hundred fifty-two million, two hundred eighty-nine thousand, six hundred".