106566561145 has 32 divisors (see below), whose sum is σ = 144443502720. Its totient is φ = 74764247040.

The previous prime is 106566561133. The next prime is 106566561197. The reversal of 106566561145 is 541165665601.

It is not a de Polignac number, because 106566561145 - 2²³ = 106558172537 is a prime.

It is a super-2 number, since 2×106566561145² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106566561095 and 106566561104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1810062 + ... + 1868008.

It is an arithmetic number, because the mean of its divisors is an integer number (4513859460).

Almost surely, 2^106566561145 is an apocalyptic number.

It is an amenable number.

106566561145 is a deficient number, since it is larger than the sum of its proper divisors (37876941575).

106566561145 is a wasteful number, since it uses less digits than its factorization.

106566561145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59145.

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 106566561145 in words is "one hundred six billion, five hundred sixty-six million, five hundred sixty-one thousand, one hundred forty-five".