105153133155 has 32 divisors (see below), whose sum is σ = 195432158208. Its totient is φ = 47281968000.

The previous prime is 105153133147. The next prime is 105153133181. The reversal of 105153133155 is 551331351501.

It is not a de Polignac number, because 105153133155 - 2³ = 105153133147 is a prime.

It is a super-3 number, since 3×105153133155³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8202271 + ... + 8215080.

It is an arithmetic number, because the mean of its divisors is an integer number (6107254944).

Almost surely, 2^105153133155 is an apocalyptic number.

105153133155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105153133155 is a deficient number, since it is larger than the sum of its proper divisors (90279025053).

105153133155 is a wasteful number, since it uses less digits than its factorization.

105153133155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16417427.

The product of its (nonzero) digits is 16875, while the sum is 33.

Adding to 105153133155 its reverse (551331351501), we get a palindrome (656484484656).

The spelling of 105153133155 in words is "one hundred five billion, one hundred fifty-three million, one hundred thirty-three thousand, one hundred fifty-five".