106500082560 has 512 divisors, whose sum is σ = 361677312000. Its totient is φ = 26613350400.

The previous prime is 106500082547. The next prime is 106500082603. The reversal of 106500082560 is 65280005601.

It is a super-2 number, since 2×106500082560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 445606921 + ... + 445607159.

It is an arithmetic number, because the mean of its divisors is an integer number (706401000).

Almost surely, 2^106500082560 is an apocalyptic number.

106500082560 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 106500082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180838656000).

106500082560 is an abundant number, since it is smaller than the sum of its proper divisors (255177229440).

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

106500082560 is a wasteful number, since it uses less digits than its factorization.

106500082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 106500082560 in words is "one hundred six billion, five hundred million, eighty-two thousand, five hundred sixty".