106561420641 has 16 divisors (see below), whose sum is σ = 170012523520. Its totient is φ = 65576258640.

The previous prime is 106561420631. The next prime is 106561420687. The reversal of 106561420641 is 146024165601.

106561420641 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 1 + 4 + 2 + 0 + 641 = 666.

It is not a de Polignac number, because 106561420641 - 2⁶ = 106561420577 is a prime.

It is a super-2 number, since 2×106561420641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106561420596 and 106561420605.

It is not an unprimeable number, because it can be changed into a prime (106561420601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151796545 + ... + 151797246.

It is an arithmetic number, because the mean of its divisors is an integer number (10625782720).

Almost surely, 2^106561420641 is an apocalyptic number.

It is an amenable number.

106561420641 is a deficient number, since it is larger than the sum of its proper divisors (63451102879).

106561420641 is a wasteful number, since it uses less digits than its factorization.

106561420641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303593813 (or 303593807 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 106561420641 in words is "one hundred six billion, five hundred sixty-one million, four hundred twenty thousand, six hundred forty-one".