105340000 has 120 divisors (see below), whose sum is σ = 271600560. Its totient is φ = 40128000.

The previous prime is 105339959. The next prime is 105340003. The reversal of 105340000 is 43501.

It is a super-2 number, since 2×105340000² = 22193031200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105340003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 459886 + ... + 460114.

It is an arithmetic number, because the mean of its divisors is an integer number (2263338).

Almost surely, 2^105340000 is an apocalyptic number.

105340000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135800280).

105340000 is an abundant number, since it is smaller than the sum of its proper divisors (166260560).

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

105340000 is an equidigital number, since it uses as much as digits as its factorization.

105340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 105340000 is about 10263.5276586562. The cubic root of 105340000 is about 472.2780608070.

Adding to 105340000 its reverse (43501), we get a palindrome (105383501).

The spelling of 105340000 in words is "one hundred five million, three hundred forty thousand".