105036000 has 96 divisors (see below), whose sum is σ = 344137248. Its totient is φ = 28006400.

The previous prime is 105035969. The next prime is 105036017. The reversal of 105036000 is 630501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105036000² = 22065122592000000, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 7624 + ... + 16376.

It is an arithmetic number, because the mean of its divisors is an integer number (3584763).

Almost surely, 2^105036000 is an apocalyptic number.

105036000 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 105036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172068624).

105036000 is an abundant number, since it is smaller than the sum of its proper divisors (239101248).

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

105036000 is an equidigital number, since it uses as much as digits as its factorization.

105036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105036000 is about 10248.7072355493. The cubic root of 105036000 is about 471.8233083736.

Adding to 105036000 its reverse (630501), we get a palindrome (105666501).

The spelling of 105036000 in words is "one hundred five million, thirty-six thousand".