105010433152 has 32 divisors (see below), whose sum is σ = 209328685020. Its totient is φ = 52473037824.

The previous prime is 105010433111. The next prime is 105010433189. The reversal of 105010433152 is 251334010501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95520556096 + 9489877056 = 309064^2 + 97416^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105010433152² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41043 + ... + 460114.

Almost surely, 2^105010433152 is an apocalyptic number.

It is an amenable number.

105010433152 is a deficient number, since it is larger than the sum of its proper divisors (104318251868).

105010433152 is an equidigital number, since it uses as much as digits as its factorization.

105010433152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502808 (or 502796 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 105010433152 its reverse (251334010501), we get a palindrome (356344443653).

The spelling of 105010433152 in words is "one hundred five billion, ten million, four hundred thirty-three thousand, one hundred fifty-two".