106105561051 has 16 divisors (see below), whose sum is σ = 121457781760. Its totient is φ = 90802023840.

The previous prime is 106105561039. The next prime is 106105561057. The reversal of 106105561051 is 150165501601.

It is a cyclic number.

It is not a de Polignac number, because 106105561051 - 2¹⁷ = 106105429979 is a prime.

It is a super-3 number, since 3×106105561051³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106105561057) 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, 19534306 + ... + 19539736.

It is an arithmetic number, because the mean of its divisors is an integer number (7591111360).

Almost surely, 2^106105561051 is an apocalyptic number.

106105561051 is a deficient number, since it is larger than the sum of its proper divisors (15352220709).

106105561051 is an equidigital number, since it uses as much as digits as its factorization.

106105561051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 106105561051 in words is "one hundred six billion, one hundred five million, five hundred sixty-one thousand, fifty-one".