105675834 has 96 divisors (see below), whose sum is σ = 251274240. Its totient is φ = 29509920.

The previous prime is 105675833. The next prime is 105675887. The reversal of 105675834 is 438576501.

It is a super-2 number, since 2×105675834² = 22334763783191112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105675792 and 105675801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105675833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648237 + ... + 648399.

It is an arithmetic number, because the mean of its divisors is an integer number (2617440).

Almost surely, 2^105675834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105675834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125637120).

105675834 is an abundant number, since it is smaller than the sum of its proper divisors (145598406).

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

105675834 is a wasteful number, since it uses less digits than its factorization.

105675834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 105675834 is about 10279.8751937949. The cubic root of 105675834 is about 472.7794176094.

The spelling of 105675834 in words is "one hundred five million, six hundred seventy-five thousand, eight hundred thirty-four".