126038100 has 72 divisors (see below), whose sum is σ = 373601088. Its totient is φ = 32787200.

The previous prime is 126038069. The next prime is 126038131. The reversal of 126038100 is 1830621.

It is an interprime number because it is at equal distance from previous prime (126038069) and next prime (126038131).

It is a super-2 number, since 2×126038100² = 31771205303220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7177 + ... + 17423.

It is an arithmetic number, because the mean of its divisors is an integer number (5188904).

Almost surely, 2^126038100 is an apocalyptic number.

126038100 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 126038100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186800544).

126038100 is an abundant number, since it is smaller than the sum of its proper divisors (247562988).

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

126038100 is a wasteful number, since it uses less digits than its factorization.

126038100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 126038100 is about 11226.6691409340. The cubic root of 126038100 is about 501.3803192643.

Adding to 126038100 its reverse (1830621), we get a palindrome (127868721).

The spelling of 126038100 in words is "one hundred twenty-six million, thirty-eight thousand, one hundred".