105535455 has 16 divisors (see below), whose sum is σ = 172044000. Its totient is φ = 55223168.

The previous prime is 105535453. The next prime is 105535457. The reversal of 105535455 is 554535501.

It is an interprime number because it is at equal distance from previous prime (105535453) and next prime (105535457).

It is a cyclic number.

It is not a de Polignac number, because 105535455 - 2¹ = 105535453 is a prime.

It is a super-2 number, since 2×105535455² = 22275464524114050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535453) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65580 + ... + 67169.

It is an arithmetic number, because the mean of its divisors is an integer number (10752750).

Almost surely, 2^105535455 is an apocalyptic number.

105535455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105535455 is a deficient number, since it is larger than the sum of its proper divisors (66508545).

105535455 is a wasteful number, since it uses less digits than its factorization.

105535455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132810.

The product of its (nonzero) digits is 37500, while the sum is 33.

The square root of 105535455 is about 10273.0450695011. The cubic root of 105535455 is about 472.5699792772.

The spelling of 105535455 in words is "one hundred five million, five hundred thirty-five thousand, four hundred fifty-five".