101682725760 has 512 divisors, whose sum is σ = 448994534400. Its totient is φ = 21128601600.

The previous prime is 101682725759. The next prime is 101682725777. The reversal of 101682725760 is 67527286101.

101682725760 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 8 + 2 + 72 + 576 + 0 = 666.

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

It is a congruent number.

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, 1292350 + ... + 1368770.

It is an arithmetic number, because the mean of its divisors is an integer number (876942450).

Almost surely, 2^101682725760 is an apocalyptic number.

101682725760 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 101682725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224497267200).

101682725760 is an abundant number, since it is smaller than the sum of its proper divisors (347311808640).

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

101682725760 is a wasteful number, since it uses less digits than its factorization.

101682725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76467 (or 76449 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 101682725760 in words is "one hundred one billion, six hundred eighty-two million, seven hundred twenty-five thousand, seven hundred sixty".