102361603600 has 135 divisors (see below), whose sum is σ = 261518718421. Its totient is φ = 38495180800.

The previous prime is 102361603577. The next prime is 102361603613. The reversal of 102361603600 is 6306163201.

The square root of 102361603600 is 319940.

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

It can be written as a sum of positive squares in 13 ways, for example, as 24444697104 + 77916906496 = 156348^2 + 279136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108779130 + ... + 108780070.

Almost surely, 2^102361603600 is an apocalyptic number.

102361603600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102361603600 is the 319940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102361603600

102361603600 is an abundant number, since it is smaller than the sum of its proper divisors (159157114821).

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

102361603600 is an frugal number, since it uses more digits than its factorization.

102361603600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 102361603600 its reverse (6306163201), we get a palindrome (108667766801).

The spelling of 102361603600 in words is "one hundred two billion, three hundred sixty-one million, six hundred three thousand, six hundred".