101485516680 has 256 divisors, whose sum is σ = 342642182400. Its totient is φ = 26715709440.

The previous prime is 101485516673. The next prime is 101485516697. The reversal of 101485516680 is 86615584101.

101485516680 is a `hidden beast` number, since 1 + 0 + 1 + 485 + 5 + 166 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51436174 + ... + 51438146.

It is an arithmetic number, because the mean of its divisors is an integer number (1338446025).

Almost surely, 2^101485516680 is an apocalyptic number.

101485516680 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 101485516680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171321091200).

101485516680 is an abundant number, since it is smaller than the sum of its proper divisors (241156665720).

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

101485516680 is a wasteful number, since it uses less digits than its factorization.

101485516680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 101485516680 in words is "one hundred one billion, four hundred eighty-five million, five hundred sixteen thousand, six hundred eighty".