105034313020 has 48 divisors (see below), whose sum is σ = 271473306048. Its totient is φ = 33241628160.

The previous prime is 105034312973. The next prime is 105034313047. The reversal of 105034313020 is 20313430501.

It is a super-2 number, since 2×105034313020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105034312982 and 105034313000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28853761 + ... + 28857400.

It is an arithmetic number, because the mean of its divisors is an integer number (5655693876).

Almost surely, 2^105034313020 is an apocalyptic number.

105034313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105034313020 is an abundant number, since it is smaller than the sum of its proper divisors (166438993028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105034313020 is a wasteful number, since it uses less digits than its factorization.

105034313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57711190 (or 57711188 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 105034313020 its reverse (20313430501), we get a palindrome (125347743521).

The spelling of 105034313020 in words is "one hundred five billion, thirty-four million, three hundred thirteen thousand, twenty".