129105000 has 240 divisors, whose sum is σ = 462976800. Its totient is φ = 32400000.

The previous prime is 129104999. The next prime is 129105001. The reversal of 129105000 is 501921.

It is an interprime number because it is at equal distance from previous prime (129104999) and next prime (129105001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129105001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 854925 + ... + 855075.

It is an arithmetic number, because the mean of its divisors is an integer number (1929070).

Almost surely, 2^129105000 is an apocalyptic number.

129105000 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 129105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231488400).

129105000 is an abundant number, since it is smaller than the sum of its proper divisors (333871800).

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

129105000 is a wasteful number, since it uses less digits than its factorization.

129105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 129105000 is about 11362.4381186434. The cubic root of 129105000 is about 505.4144883194.

Adding to 129105000 its reverse (501921), we get a palindrome (129606921).

The spelling of 129105000 in words is "one hundred twenty-nine million, one hundred five thousand".