126126100 has 18 divisors (see below), whose sum is σ = 273693854. Its totient is φ = 50450400.

The previous prime is 126126097. The next prime is 126126139. The reversal of 126126100 is 1621621.

It can be written as a sum of positive squares in 3 ways, for example, as 25765776 + 100360324 = 5076^2 + 10018^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 630531 + ... + 630730.

Almost surely, 2^126126100 is an apocalyptic number.

126126100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126126100 is an abundant number, since it is smaller than the sum of its proper divisors (147567754).

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

126126100 is a wasteful number, since it uses less digits than its factorization.

126126100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261275 (or 1261268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 126126100 is about 11230.5876961092. The cubic root of 126126100 is about 501.4969802938.

Adding to 126126100 its reverse (1621621), we get a palindrome (127747721).

The spelling of 126126100 in words is "one hundred twenty-six million, one hundred twenty-six thousand, one hundred".