105210333634 has 24 divisors (see below), whose sum is σ = 183710009340. Its totient is φ = 45058529376.

The previous prime is 105210333617. The next prime is 105210333637. The reversal of 105210333634 is 436333012501.

It can be written as a sum of positive squares in 2 ways, for example, as 86967779409 + 18242554225 = 294903^2 + 135065^2 .

It is a super-2 number, since 2×105210333634² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105210333596 and 105210333605.

It is not an unprimeable number, because it can be changed into a prime (105210333637) 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 11 ways as a sum of consecutive naturals, for example, 235597 + ... + 515680.

Almost surely, 2^105210333634 is an apocalyptic number.

105210333634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105210333634 is a deficient number, since it is larger than the sum of its proper divisors (78499675706).

105210333634 is a wasteful number, since it uses less digits than its factorization.

105210333634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752722 (or 752715 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The spelling of 105210333634 in words is "one hundred five billion, two hundred ten million, three hundred thirty-three thousand, six hundred thirty-four".