106010566056 has 24 divisors (see below), whose sum is σ = 287111949930. Its totient is φ = 35336855328.

The previous prime is 106010566007. The next prime is 106010566087. The reversal of 106010566056 is 650665010601.

It can be written as a sum of positive squares in only one way, i.e., 80559468900 + 25451097156 = 283830^2 + 159534^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106010566056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106010566056.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 736184415 + ... + 736184558.

Almost surely, 2^106010566056 is an apocalyptic number.

It is an amenable number.

106010566056 is an abundant number, since it is smaller than the sum of its proper divisors (181101383874).

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

106010566056 is a wasteful number, since it uses less digits than its factorization.

106010566056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472368985 (or 1472368978 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 106010566056 its reverse (650665010601), we get a palindrome (756675576657).

The spelling of 106010566056 in words is "one hundred six billion, ten million, five hundred sixty-six thousand, fifty-six".