105626616126355 has 12 divisors (see below), whose sum is σ = 127925469709632. Its totient is φ = 83726051634720.

The previous prime is 105626616126349. The next prime is 105626616126371. The reversal of 105626616126355 is 553621616626501.

It is not a de Polignac number, because 105626616126355 - 2³ = 105626616126347 is a prime.

It is a super-2 number, since 2×105626616126355² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105626616126296 and 105626616126305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888978691 + ... + 889097500.

It is an arithmetic number, because the mean of its divisors is an integer number (10660455809136).

Almost surely, 2^{105626616126355} is an apocalyptic number.

105626616126355 is a deficient number, since it is larger than the sum of its proper divisors (22298853583277).

105626616126355 is an equidigital number, since it uses as much as digits as its factorization.

105626616126355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778076414 (or 1778076305 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 55.

The spelling of 105626616126355 in words is "one hundred five trillion, six hundred twenty-six billion, six hundred sixteen million, one hundred twenty-six thousand, three hundred fifty-five".