105351834 has 32 divisors (see below), whose sum is σ = 242712576. Its totient is φ = 29862000.

The previous prime is 105351833. The next prime is 105351887. The reversal of 105351834 is 438153501.

It is a super-2 number, since 2×105351834² = 22198017854327112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105351833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4542 + ... + 15209.

It is an arithmetic number, because the mean of its divisors is an integer number (7584768).

Almost surely, 2^105351834 is an apocalyptic number.

105351834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105351834 is an abundant number, since it is smaller than the sum of its proper divisors (137360742).

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

105351834 is a wasteful number, since it uses less digits than its factorization.

105351834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19890.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105351834 is about 10264.1041499003. The cubic root of 105351834 is about 472.2957455399.

The spelling of 105351834 in words is "one hundred five million, three hundred fifty-one thousand, eight hundred thirty-four".