105555510040235 has 16 divisors (see below), whose sum is σ = 126726217632000. Its totient is φ = 84404674776576.

The previous prime is 105555510040231. The next prime is 105555510040301. The reversal of 105555510040235 is 532040015555501.

It is a cyclic number.

It is not a de Polignac number, because 105555510040235 - 2² = 105555510040231 is a prime.

It is a super-2 number, since 2×105555510040235² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105555510040192 and 105555510040201.

It is not an unprimeable number, because it can be changed into a prime (105555510040231) 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 15 ways as a sum of consecutive naturals, for example, 232680311 + ... + 233133519.

It is an arithmetic number, because the mean of its divisors is an integer number (7920388602000).

Almost surely, 2^{105555510040235} is an apocalyptic number.

105555510040235 is a deficient number, since it is larger than the sum of its proper divisors (21170707591765).

105555510040235 is a wasteful number, since it uses less digits than its factorization.

105555510040235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475030.

The product of its (nonzero) digits is 375000, while the sum is 41.

Adding to 105555510040235 its reverse (532040015555501), we get a palindrome (637595525595736).

The spelling of 105555510040235 in words is "one hundred five trillion, five hundred fifty-five billion, five hundred ten million, forty thousand, two hundred thirty-five".