105020000 has 120 divisors (see below), whose sum is σ = 265696200. Its totient is φ = 40832000.

The previous prime is 105019997. The next prime is 105020009. The reversal of 105020000 is 20501.

It is a super-2 number, since 2×105020000² = 22058400800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 105020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105020009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1179956 + ... + 1180044.

It is an arithmetic number, because the mean of its divisors is an integer number (2214135).

Almost surely, 2^105020000 is an apocalyptic number.

105020000 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 105020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848100).

105020000 is an abundant number, since it is smaller than the sum of its proper divisors (160676200).

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

105020000 is an frugal number, since it uses more digits than its factorization.

105020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 105020000 is about 10247.9266195655. The cubic root of 105020000 is about 471.7993497426.

Adding to 105020000 its reverse (20501), we get a palindrome (105040501).

The spelling of 105020000 in words is "one hundred five million, twenty thousand".