105105103551 has 80 divisors (see below), whose sum is σ = 184524899328. Its totient is φ = 58368988800.

The previous prime is 105105103531. The next prime is 105105103561. The reversal of 105105103551 is 155301501501.

105105103551 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 5 + 103 + 551 = 666.

It is not a de Polignac number, because 105105103551 - 2⁷ = 105105103423 is a prime.

It is a super-2 number, since 2×105105103551² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105103511) 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 79 ways as a sum of consecutive naturals, for example, 6105366 + ... + 6122556.

Almost surely, 2^105105103551 is an apocalyptic number.

105105103551 is a deficient number, since it is larger than the sum of its proper divisors (79419795777).

105105103551 is a wasteful number, since it uses less digits than its factorization.

105105103551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17514 (or 17505 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 27.

The spelling of 105105103551 in words is "one hundred five billion, one hundred five million, one hundred three thousand, five hundred fifty-one".