105262726145 has 16 divisors (see below), whose sum is σ = 127690992000. Its totient is φ = 83294949504.

The previous prime is 105262726117. The next prime is 105262726157. The reversal of 105262726145 is 541627262501.

It is a cyclic number.

It is not a de Polignac number, because 105262726145 - 2⁶ = 105262726081 is a prime.

It is a super-2 number, since 2×105262726145² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322106 + ... + 560604.

It is an arithmetic number, because the mean of its divisors is an integer number (7980687000).

Almost surely, 2^105262726145 is an apocalyptic number.

It is an amenable number.

105262726145 is a deficient number, since it is larger than the sum of its proper divisors (22428265855).

105262726145 is a wasteful number, since it uses less digits than its factorization.

105262726145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239464.

The product of its (nonzero) digits is 201600, while the sum is 41.

Adding to 105262726145 its reverse (541627262501), we get a palindrome (646889988646).

The spelling of 105262726145 in words is "one hundred five billion, two hundred sixty-two million, seven hundred twenty-six thousand, one hundred forty-five".