10705300 has 18 divisors (see below), whose sum is σ = 23230718. Its totient is φ = 4282080.

The previous prime is 10705283. The next prime is 10705301. The reversal of 10705300 is 350701.

It can be written as a sum of positive squares in 3 ways, for example, as 1669264 + 9036036 = 1292^2 + 3006^2 .

It is a super-2 number, since 2×10705300² = 229206896180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53427 + ... + 53626.

Almost surely, 2^10705300 is an apocalyptic number.

10705300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10705300 is an abundant number, since it is smaller than the sum of its proper divisors (12525418).

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

10705300 is a wasteful number, since it uses less digits than its factorization.

10705300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107067 (or 107060 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10705300 is about 3271.8954751031. The cubic root of 10705300 is about 220.3939223382.

The spelling of 10705300 in words is "ten million, seven hundred five thousand, three hundred".