106016561 has 32 divisors (see below), whose sum is σ = 131788800. Its totient is φ = 83280960.

The previous prime is 106016557. The next prime is 106016567. The reversal of 106016561 is 165610601.

It is not a de Polignac number, because 106016561 - 2² = 106016557 is a prime.

It is a super-2 number, since 2×106016561² = 22479022412533442, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106016561.

It is not an unprimeable number, because it can be changed into a prime (106016567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972575 + ... + 972683.

It is an arithmetic number, because the mean of its divisors is an integer number (4118400).

Almost surely, 2^106016561 is an apocalyptic number.

It is an amenable number.

106016561 is a deficient number, since it is larger than the sum of its proper divisors (25772239).

106016561 is a wasteful number, since it uses less digits than its factorization.

106016561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106016561 is about 10296.4343828337. The cubic root of 106016561 is about 473.2869946812.

The spelling of 106016561 in words is "one hundred six million, sixteen thousand, five hundred sixty-one".