105671300450 has 96 divisors (see below), whose sum is σ = 211050273168. Its totient is φ = 39223296000.

The previous prime is 105671300443. The next prime is 105671300479. The reversal of 105671300450 is 54003176501.

It can be written as a sum of positive squares in 24 ways, for example, as 20948929 + 105650351521 = 4577^2 + 325039^2 .

It is a super-2 number, since 2×105671300450² (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 47 ways as a sum of consecutive naturals, for example, 23166170 + ... + 23170730.

Almost surely, 2^105671300450 is an apocalyptic number.

105671300450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105671300450 is a deficient number, since it is larger than the sum of its proper divisors (105378972718).

105671300450 is a wasteful number, since it uses less digits than its factorization.

105671300450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 105671300450 its reverse (54003176501), we get a palindrome (159674476951).

The spelling of 105671300450 in words is "one hundred five billion, six hundred seventy-one million, three hundred thousand, four hundred fifty".