105564461345 has 8 divisors (see below), whose sum is σ = 144774118464. Its totient is φ = 72387059184.

The previous prime is 105564461297. The next prime is 105564461399. The reversal of 105564461345 is 543164465501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105564461345 - 2¹² = 105564457249 is a prime.

It is a super-2 number, since 2×105564461345² (a number of 23 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 = 105564461296 and 105564461305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1508063699 + ... + 1508063768.

It is an arithmetic number, because the mean of its divisors is an integer number (18096764808).

Almost surely, 2^105564461345 is an apocalyptic number.

It is an amenable number.

105564461345 is a deficient number, since it is larger than the sum of its proper divisors (39209657119).

105564461345 is an equidigital number, since it uses as much as digits as its factorization.

105564461345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016127479.

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 105564461345 in words is "one hundred five billion, five hundred sixty-four million, four hundred sixty-one thousand, three hundred forty-five".