105000313524 has 24 divisors (see below), whose sum is σ = 245104130208. Its totient is φ = 34985333280.

The previous prime is 105000313511. The next prime is 105000313571. The reversal of 105000313524 is 425313000501.

105000313524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105000313524² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105000313494 and 105000313503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1816767 + ... + 1873670.

It is an arithmetic number, because the mean of its divisors is an integer number (10212672092).

Almost surely, 2^105000313524 is an apocalyptic number.

It is an amenable number.

105000313524 is an abundant number, since it is smaller than the sum of its proper divisors (140103816684).

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

105000313524 is a wasteful number, since it uses less digits than its factorization.

105000313524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692815 (or 3692813 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 105000313524 in words is "one hundred five billion, three hundred thirteen thousand, five hundred twenty-four".