105020080 has 80 divisors (see below), whose sum is σ = 268697088. Its totient is φ = 37856000.

The previous prime is 105020051. The next prime is 105020081. The reversal of 105020080 is 80020501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105020080² = 22058434406412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (105020081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114825 + ... + 115735.

Almost surely, 2^105020080 is an apocalyptic number.

105020080 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 105020080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134348544).

105020080 is an abundant number, since it is smaller than the sum of its proper divisors (163677008).

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

105020080 is a wasteful number, since it uses less digits than its factorization.

105020080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 105020080 is about 10247.9305227934. The cubic root of 105020080 is about 471.7994695418.

Adding to 105020080 its reverse (80020501), we get a palindrome (185040581).

The spelling of 105020080 in words is "one hundred five million, twenty thousand, eighty".