126888100 has 18 divisors (see below), whose sum is σ = 275347394. Its totient is φ = 50755200.

The previous prime is 126888077. The next prime is 126888127. The reversal of 126888100 is 1888621.

It can be written as a sum of positive squares in 3 ways, for example, as 10404 + 126877696 = 102^2 + 11264^2 .

It is a super-2 number, since 2×126888100² = 32201179843220000, which contains 22 as substring.

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, 634341 + ... + 634540.

Almost surely, 2^126888100 is an apocalyptic number.

126888100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126888100 is an abundant number, since it is smaller than the sum of its proper divisors (148459294).

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

126888100 is a wasteful number, since it uses less digits than its factorization.

126888100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268895 (or 1268888 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 126888100 is about 11264.4618158170. The cubic root of 126888100 is about 502.5048966958.

The spelling of 126888100 in words is "one hundred twenty-six million, eight hundred eighty-eight thousand, one hundred".