105365456266 has 48 divisors (see below), whose sum is σ = 189848938752. Its totient is φ = 43684704000.

The previous prime is 105365456263. The next prime is 105365456279. The reversal of 105365456266 is 662654563501.

It is a super-2 number, since 2×105365456266² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (105365456263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14126010 + ... + 14133466.

It is an arithmetic number, because the mean of its divisors is an integer number (3955186224).

Almost surely, 2^105365456266 is an apocalyptic number.

105365456266 is a deficient number, since it is larger than the sum of its proper divisors (84483482486).

105365456266 is a wasteful number, since it uses less digits than its factorization.

105365456266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12155 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 49.

The spelling of 105365456266 in words is "one hundred five billion, three hundred sixty-five million, four hundred fifty-six thousand, two hundred sixty-six".