106000060560 has 160 divisors (see below), whose sum is σ = 350066344320. Its totient is φ = 26440556544.

The previous prime is 106000060553. The next prime is 106000060561. The reversal of 106000060560 is 65060000601.

It is a super-2 number, since 2×106000060560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106000060560.

It is not an unprimeable number, because it can be changed into a prime (106000060561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 585346 + ... + 744734.

It is an arithmetic number, because the mean of its divisors is an integer number (2187914652).

Almost surely, 2^106000060560 is an apocalyptic number.

106000060560 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 106000060560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175033172160).

106000060560 is an abundant number, since it is smaller than the sum of its proper divisors (244066283760).

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

106000060560 is a wasteful number, since it uses less digits than its factorization.

106000060560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159585 (or 159579 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 106000060560 in words is "one hundred six billion, sixty thousand, five hundred sixty".