126506100 has 144 divisors (see below), whose sum is σ = 422972928. Its totient is φ = 28594560.

The previous prime is 126506069. The next prime is 126506101. The reversal of 126506100 is 1605621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126506101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224419 + ... + 224981.

It is an arithmetic number, because the mean of its divisors is an integer number (2937312).

Almost surely, 2^126506100 is an apocalyptic number.

126506100 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 126506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211486464).

126506100 is an abundant number, since it is smaller than the sum of its proper divisors (296466828).

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

126506100 is a wasteful number, since it uses less digits than its factorization.

126506100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 687 counting only the distinct ones).

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

The square root of 126506100 is about 11247.4930540099. The cubic root of 126506100 is about 502.0001216912. Note that the first 3 decimals are identical.

The spelling of 126506100 in words is "one hundred twenty-six million, five hundred six thousand, one hundred".