102610260480 has 640 divisors, whose sum is σ = 413694521856. Its totient is φ = 21115699200.

The previous prime is 102610260469. The next prime is 102610260601. The reversal of 102610260480 is 84062016201.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28652290 + ... + 28655870.

Almost surely, 2^102610260480 is an apocalyptic number.

102610260480 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 102610260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206847260928).

102610260480 is an abundant number, since it is smaller than the sum of its proper divisors (311084261376).

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

102610260480 is a wasteful number, since it uses less digits than its factorization.

102610260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 102610260480 its reverse (84062016201), we get a palindrome (186672276681).

The spelling of 102610260480 in words is "one hundred two billion, six hundred ten million, two hundred sixty thousand, four hundred eighty".