106566561144 has 64 divisors (see below), whose sum is σ = 311598144000. Its totient is φ = 33652596960.

The previous prime is 106566561133. The next prime is 106566561197. The reversal of 106566561144 is 441165665601.

106566561144 is a `hidden beast` number, since 10 + 6 + 5 + 66 + 561 + 14 + 4 = 666.

It is a super-2 number, since 2×106566561144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106566561144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12979152 + ... + 12987359.

It is an arithmetic number, because the mean of its divisors is an integer number (4868721000).

Almost surely, 2^106566561144 is an apocalyptic number.

It is an amenable number.

106566561144 is an abundant number, since it is smaller than the sum of its proper divisors (205031582856).

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

106566561144 is a wasteful number, since it uses less digits than its factorization.

106566561144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25966545 (or 25966535 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 106566561144 in words is "one hundred six billion, five hundred sixty-six million, five hundred sixty-one thousand, one hundred forty-four".