105535202123 has 8 divisors (see below), whose sum is σ = 114124888416. Its totient is φ = 97012886400.

The previous prime is 105535202107. The next prime is 105535202153. The reversal of 105535202123 is 321202535501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105535202123 - 2⁴ = 105535202107 is a prime.

It is a super-2 number, since 2×105535202123² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105535202153) 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 7 ways as a sum of consecutive naturals, for example, 16839383 + ... + 16845648.

It is an arithmetic number, because the mean of its divisors is an integer number (14265611052).

Almost surely, 2^105535202123 is an apocalyptic number.

105535202123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105535202123 is a deficient number, since it is larger than the sum of its proper divisors (8589686293).

105535202123 is a wasteful number, since it uses less digits than its factorization.

105535202123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33685285.

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 105535202123 its reverse (321202535501), we get a palindrome (426737737624).

The spelling of 105535202123 in words is "one hundred five billion, five hundred thirty-five million, two hundred two thousand, one hundred twenty-three".