106552163060 has 144 divisors (see below), whose sum is σ = 263516198400. Its totient is φ = 36081561600.

The previous prime is 106552163057. The next prime is 106552163071. The reversal of 106552163060 is 60361255601.

It is a super-2 number, since 2×106552163060² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 106552163060.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45320885 + ... + 45323235.

It is an arithmetic number, because the mean of its divisors is an integer number (1829973600).

Almost surely, 2^106552163060 is an apocalyptic number.

106552163060 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 106552163060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131758099200).

106552163060 is an abundant number, since it is smaller than the sum of its proper divisors (156964035340).

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

106552163060 is a wasteful number, since it uses less digits than its factorization.

106552163060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 106552163060 in words is "one hundred six billion, five hundred fifty-two million, one hundred sixty-three thousand, sixty".