102241341504 has 105 divisors (see below), whose sum is σ = 303143625741. Its totient is φ = 34072773120.

The previous prime is 102241341497. The next prime is 102241341509. The reversal of 102241341504 is 405143142201.

The square root of 102241341504 is 319752.

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

102241341504 is a `hidden beast` number, since 1 + 0 + 2 + 24 + 134 + 1 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39461027904 + 62780313600 = 198648^2 + 250560^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102241341509) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23019924 + ... + 23024364.

Almost surely, 2^102241341504 is an apocalyptic number.

102241341504 is the 319752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102241341504

102241341504 is an abundant number, since it is smaller than the sum of its proper divisors (200902284237).

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

102241341504 is an frugal number, since it uses more digits than its factorization.

102241341504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8906 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 102241341504 its reverse (405143142201), we get a palindrome (507384483705).

The spelling of 102241341504 in words is "one hundred two billion, two hundred forty-one million, three hundred forty-one thousand, five hundred four".