106016121661 has 16 divisors (see below), whose sum is σ = 109077995520. Its totient is φ = 102990682480.

The previous prime is 106016121641. The next prime is 106016121677. The reversal of 106016121661 is 166121610601.

It is a cyclic number.

It is not a de Polignac number, because 106016121661 - 2⁹ = 106016121149 is a prime.

It is a super-2 number, since 2×106016121661² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106016121611) 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, 3478290 + ... + 3508636.

It is an arithmetic number, because the mean of its divisors is an integer number (6817374720).

Almost surely, 2^106016121661 is an apocalyptic number.

It is an amenable number.

106016121661 is a deficient number, since it is larger than the sum of its proper divisors (3061873859).

106016121661 is a wasteful number, since it uses less digits than its factorization.

106016121661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30944.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 106016121661 in words is "one hundred six billion, sixteen million, one hundred twenty-one thousand, six hundred sixty-one".