102025360000 has 160 divisors (see below), whose sum is σ = 254436444900. Its totient is φ = 40737792000.

The previous prime is 102025359973. The next prime is 102025360001. The reversal of 102025360000 is 63520201.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 8521505344 + 93503854656 = 92312^2 + 305784^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 102025360000.

It is not an unprimeable number, because it can be changed into a prime (102025360001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85519404 + ... + 85520596.

Almost surely, 2^102025360000 is an apocalyptic number.

102025360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102025360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127218222450).

102025360000 is an abundant number, since it is smaller than the sum of its proper divisors (152411084900).

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

102025360000 is an equidigital number, since it uses as much as digits as its factorization.

102025360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 102025360000 its reverse (63520201), we get a palindrome (102088880201).

The spelling of 102025360000 in words is "one hundred two billion, twenty-five million, three hundred sixty thousand".