105355135512 has 64 divisors (see below), whose sum is σ = 319257993600. Its totient is φ = 31925797920.

The previous prime is 105355135511. The next prime is 105355135531. The reversal of 105355135512 is 215531553501.

105355135512 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 5 + 135 + 512 = 666.

It is a super-2 number, since 2×105355135512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355135511) 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, 22168318 + ... + 22173069.

It is an arithmetic number, because the mean of its divisors is an integer number (4988406150).

Almost surely, 2^105355135512 is an apocalyptic number.

105355135512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105355135512 is an abundant number, since it is smaller than the sum of its proper divisors (213902858088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105355135512 is a wasteful number, since it uses less digits than its factorization.

105355135512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44341413 (or 44341403 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 105355135512 in words is "one hundred five billion, three hundred fifty-five million, one hundred thirty-five thousand, five hundred twelve".