105459278456 has 64 divisors (see below), whose sum is σ = 239331905280. Its totient is φ = 42528499200.

The previous prime is 105459278411. The next prime is 105459278461. The reversal of 105459278456 is 654872954501.

It is a super-2 number, since 2×105459278456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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, 5369951 + ... + 5389553.

It is an arithmetic number, because the mean of its divisors is an integer number (3739561020).

Almost surely, 2^105459278456 is an apocalyptic number.

It is an amenable number.

105459278456 is an abundant number, since it is smaller than the sum of its proper divisors (133872626824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105459278456 is a wasteful number, since it uses less digits than its factorization.

105459278456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25284 (or 25280 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 105459278456 in words is "one hundred five billion, four hundred fifty-nine million, two hundred seventy-eight thousand, four hundred fifty-six".