105550465335 has 32 divisors (see below), whose sum is σ = 193193966592. Its totient is φ = 48204791040.

The previous prime is 105550465303. The next prime is 105550465367. The reversal of 105550465335 is 533564055501.

It is an interprime number because it is at equal distance from previous prime (105550465303) and next prime (105550465367).

It is not a de Polignac number, because 105550465335 - 2⁵ = 105550465303 is a prime.

It is a super-2 number, since 2×105550465335² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379254 + ... + 595763.

It is an arithmetic number, because the mean of its divisors is an integer number (6037311456).

Almost surely, 2^105550465335 is an apocalyptic number.

105550465335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105550465335 is a deficient number, since it is larger than the sum of its proper divisors (87643501257).

105550465335 is a wasteful number, since it uses less digits than its factorization.

105550465335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976063.

The product of its (nonzero) digits is 675000, while the sum is 42.

The spelling of 105550465335 in words is "one hundred five billion, five hundred fifty million, four hundred sixty-five thousand, three hundred thirty-five".