102130625520 has 1620 divisors, whose sum is σ = 477016337304. Its totient is φ = 20105003520.

The previous prime is 102130625491. The next prime is 102130625573. The reversal of 102130625520 is 25526031201.

It is a happy number.

102130625520 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 30 + 625 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 5375296071 + ... + 5375296089.

Almost surely, 2^102130625520 is an apocalyptic number.

102130625520 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 102130625520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238508168652).

102130625520 is an abundant number, since it is smaller than the sum of its proper divisors (374885711784).

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

102130625520 is an equidigital number, since it uses as much as digits as its factorization.

102130625520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 102130625520 its reverse (25526031201), we get a palindrome (127656656721).

The spelling of 102130625520 in words is "one hundred two billion, one hundred thirty million, six hundred twenty-five thousand, five hundred twenty".