102520000000 has 320 divisors, whose sum is σ = 280525063104. Its totient is φ = 37120000000.

The previous prime is 102519999991. The next prime is 102520000003. The reversal of 102520000000 is 25201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102520000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439999884 + ... + 440000116.

Almost surely, 2^102520000000 is an apocalyptic number.

102520000000 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 102520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140262531552).

102520000000 is an abundant number, since it is smaller than the sum of its proper divisors (178005063104).

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

102520000000 is an frugal number, since it uses more digits than its factorization.

102520000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 102520000000 its reverse (25201), we get a palindrome (102520025201).

The spelling of 102520000000 in words is "one hundred two billion, five hundred twenty million", and thus it is an aban number.