107124100 has 18 divisors (see below), whose sum is σ = 232459514. Its totient is φ = 42849600.

The previous prime is 107124047. The next prime is 107124107. The reversal of 107124100 is 1421701.

It can be written as a sum of positive squares in 3 ways, for example, as 38167684 + 68956416 = 6178^2 + 8304^2 .

It is a super-2 number, since 2×107124100² = 22951145601620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107124107) 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, 535521 + ... + 535720.

Almost surely, 2^107124100 is an apocalyptic number.

107124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107124100 is an abundant number, since it is smaller than the sum of its proper divisors (125335414).

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

107124100 is a wasteful number, since it uses less digits than its factorization.

107124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071255 (or 1071248 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 107124100 is about 10350.0772943974. The cubic root of 107124100 is about 474.9294077920.

Adding to 107124100 its reverse (1421701), we get a palindrome (108545801).

The spelling of 107124100 in words is "one hundred seven million, one hundred twenty-four thousand, one hundred".