124768900 has 27 divisors (see below), whose sum is σ = 270991119. Its totient is φ = 49862880.

The previous prime is 124768871. The next prime is 124768901. The reversal of 124768900 is 9867421.

The square root of 124768900 is 11170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 53670276 + 71098624 = 7326^2 + 8432^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 124768900.

It is not an unprimeable number, because it can be changed into a prime (124768901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111142 + ... + 112258.

Almost surely, 2^124768900 is an apocalyptic number.

124768900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

124768900 is the 11170-th square number.

It is an amenable number.

124768900 is an abundant number, since it is smaller than the sum of its proper divisors (146222219).

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

124768900 is an equidigital number, since it uses as much as digits as its factorization.

124768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The cubic root of 124768900 is about 499.6916765791.

The spelling of 124768900 in words is "one hundred twenty-four million, seven hundred sixty-eight thousand, nine hundred".