105533004145 has 32 divisors (see below), whose sum is σ = 128221950240. Its totient is φ = 83380316160.

The previous prime is 105533004113. The next prime is 105533004169. The reversal of 105533004145 is 541400335501.

It can be written as a sum of positive squares in 16 ways, for example, as 3859391376 + 101673612769 = 62124^2 + 318863^2 .

It is not a de Polignac number, because 105533004145 - 2⁵ = 105533004113 is a prime.

It is a super-2 number, since 2×105533004145² (a number of 23 digits) contains 22 as substring.

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, 112149375 + ... + 112150315.

It is an arithmetic number, because the mean of its divisors is an integer number (4006935945).

Almost surely, 2^105533004145 is an apocalyptic number.

It is an amenable number.

105533004145 is a deficient number, since it is larger than the sum of its proper divisors (22688946095).

105533004145 is a wasteful number, since it uses less digits than its factorization.

105533004145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845.

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 105533004145 its reverse (541400335501), we get a palindrome (646933339646).

The spelling of 105533004145 in words is "one hundred five billion, five hundred thirty-three million, four thousand, one hundred forty-five".