105151551661121 has 8 divisors (see below), whose sum is σ = 120177777869184. Its totient is φ = 90126469445760.

The previous prime is 105151551661081. The next prime is 105151551661133. The reversal of 105151551661121 is 121166155151501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105151551661121 - 2⁴² = 100753505150017 is a prime.

It is a super-2 number, since 2×105151551661121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105151551661151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285801200 + ... + 286168881.

It is an arithmetic number, because the mean of its divisors is an integer number (15022222233648).

Almost surely, 2^{105151551661121} is an apocalyptic number.

It is an amenable number.

105151551661121 is a deficient number, since it is larger than the sum of its proper divisors (15026226208063).

105151551661121 is an equidigital number, since it uses as much as digits as its factorization.

105151551661121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571996351.

The product of its (nonzero) digits is 45000, while the sum is 41.

The spelling of 105151551661121 in words is "one hundred five trillion, one hundred fifty-one billion, five hundred fifty-one million, six hundred sixty-one thousand, one hundred twenty-one".