105705300 has 144 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 26864640.

The previous prime is 105705289. The next prime is 105705329. The reversal of 105705300 is 3507501.

It is a happy number.

It is a super-2 number, since 2×105705300² = 22347220896180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987847 + ... + 987953.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^105705300 is an apocalyptic number.

105705300 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 105705300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

105705300 is an abundant number, since it is smaller than the sum of its proper divisors (214899180).

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

105705300 is a wasteful number, since it uses less digits than its factorization.

105705300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 105705300 is about 10281.3082825096. The cubic root of 105705300 is about 472.8233558281.

The spelling of 105705300 in words is "one hundred five million, seven hundred five thousand, three hundred".