105114242321355 has 16 divisors (see below), whose sum is σ = 169254015665184. Its totient is φ = 55703853254400.

The previous prime is 105114242321329. The next prime is 105114242321423. The reversal of 105114242321355 is 553123242411501.

It is not a de Polignac number, because 105114242321355 - 2¹⁶ = 105114242255819 is a prime.

It is a super-2 number, since 2×105114242321355² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22317246546 + ... + 22317251255.

It is an arithmetic number, because the mean of its divisors is an integer number (10578375979074).

Almost surely, 2^{105114242321355} is an apocalyptic number.

105114242321355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105114242321355 is a deficient number, since it is larger than the sum of its proper divisors (64139773343829).

105114242321355 is a wasteful number, since it uses less digits than its factorization.

105114242321355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44634497966.

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 105114242321355 its reverse (553123242411501), we get a palindrome (658237484732856).

The spelling of 105114242321355 in words is "one hundred five trillion, one hundred fourteen billion, two hundred forty-two million, three hundred twenty-one thousand, three hundred fifty-five".