126044100 has 504 divisors, whose sum is σ = 531285440. Its totient is φ = 25194240.

The previous prime is 126044057. The next prime is 126044111. The reversal of 126044100 is 1440621.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 167 ways as a sum of consecutive naturals, for example, 6633891 + ... + 6633909.

Almost surely, 2^126044100 is an apocalyptic number.

126044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265642720).

126044100 is an abundant number, since it is smaller than the sum of its proper divisors (405241340).

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

126044100 is a wasteful number, since it uses less digits than its factorization.

126044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 126044100 is about 11226.9363585976. The cubic root of 126044100 is about 501.3882751500.

Adding to 126044100 its reverse (1440621), we get a palindrome (127484721).

The spelling of 126044100 in words is "one hundred twenty-six million, forty-four thousand, one hundred".