105355136160 has 192 divisors, whose sum is σ = 372395439360. Its totient is φ = 27816422400.

The previous prime is 105355136143. The next prime is 105355136179. The reversal of 105355136160 is 61631553501.

105355136160 is a `hidden beast` number, since 1 + 0 + 5 + 35 + 5 + 1 + 3 + 616 + 0 = 666.

It is a super-2 number, since 2×105355136160² (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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 315589 + ... + 557051.

It is an arithmetic number, because the mean of its divisors is an integer number (1939559580).

Almost surely, 2^105355136160 is an apocalyptic number.

105355136160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105355136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186197719680).

105355136160 is an abundant number, since it is smaller than the sum of its proper divisors (267040303200).

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

105355136160 is a wasteful number, since it uses less digits than its factorization.

105355136160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241588 (or 241574 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 105355136160 its reverse (61631553501), we get a palindrome (166986689661).

The spelling of 105355136160 in words is "one hundred five billion, three hundred fifty-five million, one hundred thirty-six thousand, one hundred sixty".