105130500 has 96 divisors (see below), whose sum is σ = 309429120. Its totient is φ = 27734400.

The previous prime is 105130483. The next prime is 105130523. The reversal of 105130500 is 5031501.

It is a super-2 number, since 2×105130500² = 22104844060500000, which contains 22 as substring.

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 105130500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163179 + ... + 163821.

It is an arithmetic number, because the mean of its divisors is an integer number (3223220).

Almost surely, 2^105130500 is an apocalyptic number.

105130500 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 105130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154714560).

105130500 is an abundant number, since it is smaller than the sum of its proper divisors (204298620).

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

105130500 is a wasteful number, since it uses less digits than its factorization.

105130500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 105130500 is about 10253.3165366139. The cubic root of 105130500 is about 471.9647644385.

The spelling of 105130500 in words is "one hundred five million, one hundred thirty thousand, five hundred".