105365000 has 80 divisors (see below), whose sum is σ = 266024220. Its totient is φ = 38880000.

The previous prime is 105364999. The next prime is 105365009. The reversal of 105365000 is 563501.

It can be written as a sum of positive squares in 10 ways, for example, as 11546404 + 93818596 = 3398^2 + 9686^2 .

It is a super-2 number, since 2×105365000² = 22203566450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (105365009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64190 + ... + 65810.

Almost surely, 2^105365000 is an apocalyptic number.

105365000 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 105365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133012110).

105365000 is an abundant number, since it is smaller than the sum of its proper divisors (160659220).

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

105365000 is a wasteful number, since it uses less digits than its factorization.

105365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 105365000 is about 10264.7454912433. The cubic root of 105365000 is about 472.3154192578.

The spelling of 105365000 in words is "one hundred five million, three hundred sixty-five thousand".