105355263305 has 16 divisors (see below), whose sum is σ = 128215236864. Its totient is φ = 83092625280.

The previous prime is 105355263287. The next prime is 105355263323. The reversal of 105355263305 is 503362553501.

It is an interprime number because it is at equal distance from previous prime (105355263287) and next prime (105355263323).

It is not a de Polignac number, because 105355263305 - 2⁶ = 105355263241 is a prime.

It is a super-2 number, since 2×105355263305² (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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, 771650 + ... + 897860.

It is an arithmetic number, because the mean of its divisors is an integer number (8013452304).

Almost surely, 2^105355263305 is an apocalyptic number.

It is an amenable number.

105355263305 is a deficient number, since it is larger than the sum of its proper divisors (22859973559).

105355263305 is a wasteful number, since it uses less digits than its factorization.

105355263305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128576.

The product of its (nonzero) digits is 202500, while the sum is 38.

The spelling of 105355263305 in words is "one hundred five billion, three hundred fifty-five million, two hundred sixty-three thousand, three hundred five".