126056100 has 72 divisors (see below), whose sum is σ = 380600640. Its totient is φ = 32151680.

The previous prime is 126056087. The next prime is 126056107. The reversal of 126056100 is 1650621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (126056107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2235 + ... + 16034.

It is an arithmetic number, because the mean of its divisors is an integer number (5286120).

Almost surely, 2^126056100 is an apocalyptic number.

126056100 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 126056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190300320).

126056100 is an abundant number, since it is smaller than the sum of its proper divisors (254544540).

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

126056100 is a wasteful number, since it uses less digits than its factorization.

126056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18309 (or 18302 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 126056100 is about 11227.4707748451. The cubic root of 126056100 is about 501.4041861642.

The spelling of 126056100 in words is "one hundred twenty-six million, fifty-six thousand, one hundred".