126410100 has 72 divisors (see below), whose sum is σ = 367663968. Its totient is φ = 33532800.

The previous prime is 126410099. The next prime is 126410107. The reversal of 126410100 is 1014621.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 126410100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126410107) 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, 62302 + ... + 64298.

It is an arithmetic number, because the mean of its divisors is an integer number (5106444).

Almost surely, 2^126410100 is an apocalyptic number.

126410100 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 126410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183831984).

126410100 is an abundant number, since it is smaller than the sum of its proper divisors (241253868).

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

126410100 is a wasteful number, since it uses less digits than its factorization.

126410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 126410100 is about 11243.2246264139. The cubic root of 126410100 is about 501.8731075074.

Adding to 126410100 its reverse (1014621), we get a palindrome (127424721).

The spelling of 126410100 in words is "one hundred twenty-six million, four hundred ten thousand, one hundred".