105225834 has 48 divisors (see below), whose sum is σ = 248308416. Its totient is φ = 29641080.

The previous prime is 105225787. The next prime is 105225839. The reversal of 105225834 is 438522501.

It is a super-2 number, since 2×105225834² = 22144952281991112, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105225839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482019 + ... + 1482089.

It is an arithmetic number, because the mean of its divisors is an integer number (5173092).

Almost surely, 2^105225834 is an apocalyptic number.

105225834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105225834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124154208).

105225834 is an abundant number, since it is smaller than the sum of its proper divisors (143082582).

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

105225834 is an frugal number, since it uses more digits than its factorization.

105225834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 105225834 is about 10257.9644179535. The cubic root of 105225834 is about 472.1073830417.

The spelling of 105225834 in words is "one hundred five million, two hundred twenty-five thousand, eight hundred thirty-four".