105355100511 has 12 divisors (see below), whose sum is σ = 152184350760. Its totient is φ = 70234536240.

The previous prime is 105355100479. The next prime is 105355100573. The reversal of 105355100511 is 115001553501.

105355100511 is a `hidden beast` number, since 10 + 5 + 35 + 5 + 100 + 511 = 666.

It is not a de Polignac number, because 105355100511 - 2⁵ = 105355100479 is a prime.

It is a super-2 number, since 2×105355100511² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355100311) 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 11 ways as a sum of consecutive naturals, for example, 153000 + ... + 483858.

It is an arithmetic number, because the mean of its divisors is an integer number (12682029230).

Almost surely, 2^105355100511 is an apocalyptic number.

105355100511 is a deficient number, since it is larger than the sum of its proper divisors (46829250249).

105355100511 is a wasteful number, since it uses less digits than its factorization.

105355100511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366246 (or 366243 counting only the distinct ones).

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

The spelling of 105355100511 in words is "one hundred five billion, three hundred fifty-five million, one hundred thousand, five hundred eleven".