105030020 has 24 divisors (see below), whose sum is σ = 220882200. Its totient is φ = 41951232.

The previous prime is 105029999. The next prime is 105030041. The reversal of 105030020 is 20030501.

It is an interprime number because it is at equal distance from previous prime (105029999) and next prime (105030041).

It can be written as a sum of positive squares in 4 ways, for example, as 8479744 + 96550276 = 2912^2 + 9826^2 .

It is a super-2 number, since 2×105030020² = 22062610202400800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105029983 and 105030010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11966 + ... + 18794.

It is an arithmetic number, because the mean of its divisors is an integer number (9203425).

Almost surely, 2^105030020 is an apocalyptic number.

105030020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105030020 is an abundant number, since it is smaller than the sum of its proper divisors (115852180).

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

105030020 is a wasteful number, since it uses less digits than its factorization.

105030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 105030020 is about 10248.4154872839. The cubic root of 105030020 is about 471.8143541200.

Adding to 105030020 its reverse (20030501), we get a palindrome (125060521).

The spelling of 105030020 in words is "one hundred five million, thirty thousand, twenty".