106871300 has 18 divisors (see below), whose sum is σ = 231910938. Its totient is φ = 42748480.

The previous prime is 106871273. The next prime is 106871311. The reversal of 106871300 is 3178601.

It can be written as a sum of positive squares in 3 ways, for example, as 6190144 + 100681156 = 2488^2 + 10034^2 .

It is a super-2 number, since 2×106871300² = 22842949527380000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106871300.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 534257 + ... + 534456.

It is an arithmetic number, because the mean of its divisors is an integer number (12883941).

Almost surely, 2^106871300 is an apocalyptic number.

106871300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106871300 is an abundant number, since it is smaller than the sum of its proper divisors (125039638).

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

106871300 is a wasteful number, since it uses less digits than its factorization.

106871300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068727 (or 1068720 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 106871300 is about 10337.8576117105. The cubic root of 106871300 is about 474.5555214229. Note that the first 4 decimals are identical.

The spelling of 106871300 in words is "one hundred six million, eight hundred seventy-one thousand, three hundred".