126321100 has 72 divisors (see below), whose sum is σ = 290450160. Its totient is φ = 47604480.

The previous prime is 126321089. The next prime is 126321109. The reversal of 126321100 is 1123621.

126321100 = T₂₂₀ + T₂₂₁ + ... + T₉₁₅.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (126321109) 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 23 ways as a sum of consecutive naturals, for example, 124194 + ... + 125206.

It is an arithmetic number, because the mean of its divisors is an integer number (4034030).

Almost surely, 2^126321100 is an apocalyptic number.

126321100 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 126321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145225080).

126321100 is an abundant number, since it is smaller than the sum of its proper divisors (164129060).

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

126321100 is a wasteful number, since it uses less digits than its factorization.

126321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 126321100 is about 11239.2659902682. The cubic root of 126321100 is about 501.7552973184.

Adding to 126321100 its reverse (1123621), we get a palindrome (127444721).

The spelling of 126321100 in words is "one hundred twenty-six million, three hundred twenty-one thousand, one hundred".