126788100 has 36 divisors (see below), whose sum is σ = 366841104. Its totient is φ = 33810080.

The previous prime is 126788071. The next prime is 126788111. The reversal of 126788100 is 1887621.

It is a happy number.

It is a super-2 number, since 2×126788100² = 32150444603220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211014 + ... + 211613.

Almost surely, 2^126788100 is an apocalyptic number.

126788100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126788100 is an abundant number, since it is smaller than the sum of its proper divisors (240053004).

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

126788100 is a wasteful number, since it uses less digits than its factorization.

126788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422644 (or 422637 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 126788100 is about 11260.0222024648. The cubic root of 126788100 is about 502.3728546414.

The spelling of 126788100 in words is "one hundred twenty-six million, seven hundred eighty-eight thousand, one hundred".