105633351334 has 32 divisors (see below), whose sum is σ = 182996767296. Its totient is φ = 44793907200.

The previous prime is 105633351289. The next prime is 105633351371. The reversal of 105633351334 is 433153336501.

105633351334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105633351334² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105633351293 and 105633351302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8376634 + ... + 8389234.

It is an arithmetic number, because the mean of its divisors is an integer number (5718648978).

Almost surely, 2^105633351334 is an apocalyptic number.

105633351334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105633351334 is a deficient number, since it is larger than the sum of its proper divisors (77363415962).

105633351334 is a wasteful number, since it uses less digits than its factorization.

105633351334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18880.

The product of its (nonzero) digits is 145800, while the sum is 37.

Adding to 105633351334 its reverse (433153336501), we get a palindrome (538786687835).

The spelling of 105633351334 in words is "one hundred five billion, six hundred thirty-three million, three hundred fifty-one thousand, three hundred thirty-four".