126105000 has 160 divisors (see below), whose sum is σ = 450605760. Its totient is φ = 28800000.

The previous prime is 126104989. The next prime is 126105011. The reversal of 126105000 is 501621.

It is an interprime number because it is at equal distance from previous prime (126104989) and next prime (126105011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104400 + ... + 105600.

It is an arithmetic number, because the mean of its divisors is an integer number (2816286).

Almost surely, 2^126105000 is an apocalyptic number.

126105000 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 126105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225302880).

126105000 is an abundant number, since it is smaller than the sum of its proper divisors (324500760).

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

126105000 is a wasteful number, since it uses less digits than its factorization.

126105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 126105000 is about 11229.6482580711. The cubic root of 126105000 is about 501.4690131075.

Adding to 126105000 its reverse (501621), we get a palindrome (126606621).

The spelling of 126105000 in words is "one hundred twenty-six million, one hundred five thousand".