106617000520 has 128 divisors (see below), whose sum is σ = 254669184000. Its totient is φ = 40058772480.

The previous prime is 106617000517. The next prime is 106617000521. The reversal of 106617000520 is 25000716601.

It is a super-2 number, since 2×106617000520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106617000521) 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 31 ways as a sum of consecutive naturals, for example, 60611401 + ... + 60613159.

It is an arithmetic number, because the mean of its divisors is an integer number (1989603000).

Almost surely, 2^106617000520 is an apocalyptic number.

106617000520 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 106617000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127334592000).

106617000520 is an abundant number, since it is smaller than the sum of its proper divisors (148052183480).

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

106617000520 is a wasteful number, since it uses less digits than its factorization.

106617000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 106617000520 in words is "one hundred six billion, six hundred seventeen million, five hundred twenty", and thus it is an aban number.