105792834 has 16 divisors (see below), whose sum is σ = 241812288. Its totient is φ = 30226512.

The previous prime is 105792809. The next prime is 105792839. The reversal of 105792834 is 438297501.

It is a super-2 number, since 2×105792834² = 22384247451503112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105792792 and 105792801.

It is not an unprimeable number, because it can be changed into a prime (105792839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259397 + ... + 1259480.

It is an arithmetic number, because the mean of its divisors is an integer number (15113268).

Almost surely, 2^105792834 is an apocalyptic number.

105792834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105792834 is an abundant number, since it is smaller than the sum of its proper divisors (136019454).

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

105792834 is a wasteful number, since it uses less digits than its factorization.

105792834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518889.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 105792834 is about 10285.5643500977. The cubic root of 105792834 is about 472.9538339923.

The spelling of 105792834 in words is "one hundred five million, seven hundred ninety-two thousand, eight hundred thirty-four".