105124734 has 48 divisors (see below), whose sum is σ = 267596784. Its totient is φ = 29404800.

The previous prime is 105124717. The next prime is 105124741. The reversal of 105124734 is 437421501.

It is a super-2 number, since 2×105124734² = 22102419397141512, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105124698 and 105124707.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 17847 + ... + 22994.

It is an arithmetic number, because the mean of its divisors is an integer number (5574933).

Almost surely, 2^105124734 is an apocalyptic number.

105124734 is an abundant number, since it is smaller than the sum of its proper divisors (162472050).

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

105124734 is a wasteful number, since it uses less digits than its factorization.

105124734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40873 (or 40870 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105124734 is about 10253.0353554447. The cubic root of 105124734 is about 471.9561358021.

The spelling of 105124734 in words is "one hundred five million, one hundred twenty-four thousand, seven hundred thirty-four".