105551000505 has 32 divisors (see below), whose sum is σ = 195804760320. Its totient is φ = 53846305920.

The previous prime is 105551000501. The next prime is 105551000591. The reversal of 105551000505 is 505000155501.

105551000505 is a `hidden beast` number, since 1 + 0 + 5 + 55 + 100 + 0 + 505 = 666.

It is not a de Polignac number, because 105551000505 - 2² = 105551000501 is a prime.

It is a super-3 number, since 3×105551000505³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105551000501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16993836 + ... + 17000045.

It is an arithmetic number, because the mean of its divisors is an integer number (6118898760).

Almost surely, 2^105551000505 is an apocalyptic number.

105551000505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105551000505 is a deficient number, since it is larger than the sum of its proper divisors (90253759815).

105551000505 is a wasteful number, since it uses less digits than its factorization.

105551000505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33993918 (or 33993912 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 105551000505 in words is "one hundred five billion, five hundred fifty-one million, five hundred five", and thus it is an aban number.