126420100 has 36 divisors (see below), whose sum is σ = 277181044. Its totient is φ = 50042880.

The previous prime is 126420079. The next prime is 126420101. The reversal of 126420100 is 1024621.

It can be written as a sum of positive squares in 6 ways, for example, as 1382976 + 125037124 = 1176^2 + 11182^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126420101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3184 + ... + 16216.

Almost surely, 2^126420100 is an apocalyptic number.

126420100 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 126420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138590522).

126420100 is an abundant number, since it is smaller than the sum of its proper divisors (150760944).

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

126420100 is a wasteful number, since it uses less digits than its factorization.

126420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13144 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 126420100 is about 11243.6693298940. The cubic root of 126420100 is about 501.8863411513.

Adding to 126420100 its reverse (1024621), we get a palindrome (127444721).

The spelling of 126420100 in words is "one hundred twenty-six million, four hundred twenty thousand, one hundred".