105301020 has 96 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 25263360.

The previous prime is 105301013. The next prime is 105301037. The reversal of 105301020 is 20103501.

105301020 = T₄₉₉ + T₅₀₀ + ... + T₉₁₀.

It is a super-2 number, since 2×105301020² = 22176609626080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 105300987 and 105301005.

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 31 ways as a sum of consecutive naturals, for example, 67206 + ... + 68754.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^105301020 is an apocalyptic number.

105301020 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 105301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

105301020 is an abundant number, since it is smaller than the sum of its proper divisors (219678180).

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

105301020 is a wasteful number, since it uses less digits than its factorization.

105301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105301020 is about 10261.6285257263. The cubic root of 105301020 is about 472.2197997159.

Adding to 105301020 its reverse (20103501), we get a palindrome (125404521).

The spelling of 105301020 in words is "one hundred five million, three hundred one thousand, twenty".