125000100 has 54 divisors (see below), whose sum is σ = 391808690. Its totient is φ = 33333120.

The previous prime is 125000089. The next prime is 125000149. The reversal of 125000100 is 1000521.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2056356 + 122943744 = 1434^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68545 + ... + 70344.

Almost surely, 2^125000100 is an apocalyptic number.

125000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125000100 is an abundant number, since it is smaller than the sum of its proper divisors (266808590).

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

125000100 is a wasteful number, since it uses less digits than its factorization.

125000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138909 (or 138899 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 125000100 is about 11180.3443596340. The cubic root of 125000100 is about 500.0001333333. Note that the first 3 decimals are identical.

Adding to 125000100 its reverse (1000521), we get a palindrome (126000621).

The spelling of 125000100 in words is "one hundred twenty-five million, one hundred", and thus it is an aban number.