105129500 has 96 divisors (see below), whose sum is σ = 268195200. Its totient is φ = 35985600.

The previous prime is 105129491. The next prime is 105129503. The reversal of 105129500 is 5921501.

It is a super-2 number, since 2×105129500² = 22104423540500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105129503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171194 + ... + 171806.

It is an arithmetic number, because the mean of its divisors is an integer number (2793700).

Almost surely, 2^105129500 is an apocalyptic number.

105129500 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 105129500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134097600).

105129500 is an abundant number, since it is smaller than the sum of its proper divisors (163065700).

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

105129500 is an equidigital number, since it uses as much as digits as its factorization.

105129500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 105129500 is about 10253.2677717887. The cubic root of 105129500 is about 471.9632679928.

The spelling of 105129500 in words is "one hundred five million, one hundred twenty-nine thousand, five hundred".