102520104960 has 1152 divisors, whose sum is σ = 426645273600. Its totient is φ = 20932853760.

The previous prime is 102520104901. The next prime is 102520104961. The reversal of 102520104960 is 69401025201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (102520104961) 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 95 ways as a sum of consecutive naturals, for example, 3307100145 + ... + 3307100175.

It is an arithmetic number, because the mean of its divisors is an integer number (370351800).

Almost surely, 2^102520104960 is an apocalyptic number.

102520104960 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 102520104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213322636800).

102520104960 is an abundant number, since it is smaller than the sum of its proper divisors (324125168640).

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

102520104960 is an equidigital number, since it uses as much as digits as its factorization.

102520104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 102520104960 in words is "one hundred two billion, five hundred twenty million, one hundred four thousand, nine hundred sixty".