105305855347 has 8 divisors (see below), whose sum is σ = 131290417152. Its totient is φ = 82056510600.

The previous prime is 105305855329. The next prime is 105305855353. The reversal of 105305855347 is 743558503501.

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 105305855347 - 2²³ = 105297466739 is a prime.

It is a super-2 number, since 2×105305855347² (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 = 105305855297 and 105305855306.

It is not an unprimeable number, because it can be changed into a prime (105305855147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683804179 + ... + 683804332.

It is an arithmetic number, because the mean of its divisors is an integer number (16411302144).

Almost surely, 2^105305855347 is an apocalyptic number.

105305855347 is a deficient number, since it is larger than the sum of its proper divisors (25984561805).

105305855347 is a wasteful number, since it uses less digits than its factorization.

105305855347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367608529.

The product of its (nonzero) digits is 1260000, while the sum is 46.

The spelling of 105305855347 in words is "one hundred five billion, three hundred five million, eight hundred fifty-five thousand, three hundred forty-seven".