126302100 has 72 divisors (see below), whose sum is σ = 367768128. Its totient is φ = 33465600.

The previous prime is 126302093. The next prime is 126302107. The reversal of 126302100 is 1203621.

It is an interprime number because it is at equal distance from previous prime (126302093) and next prime (126302107).

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 126302100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126302107) 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, 48840 + ... + 51360.

Almost surely, 2^126302100 is an apocalyptic number.

126302100 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 126302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183884064).

126302100 is an abundant number, since it is smaller than the sum of its proper divisors (241466028).

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

126302100 is a wasteful number, since it uses less digits than its factorization.

126302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 126302100 is about 11238.4207075550. The cubic root of 126302100 is about 501.7301396615.

Adding to 126302100 its reverse (1203621), we get a palindrome (127505721).

The spelling of 126302100 in words is "one hundred twenty-six million, three hundred two thousand, one hundred".