105314020 has 48 divisors (see below), whose sum is σ = 253588608. Its totient is φ = 35988480.

The previous prime is 105314003. The next prime is 105314039. The reversal of 105314020 is 20413501.

It is a super-2 number, since 2×105314020² = 22182085617120800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105313985 and 105314003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48355 + ... + 50485.

It is an arithmetic number, because the mean of its divisors is an integer number (5283096).

Almost surely, 2^105314020 is an apocalyptic number.

105314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105314020 is an abundant number, since it is smaller than the sum of its proper divisors (148274588).

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

105314020 is a wasteful number, since it uses less digits than its factorization.

105314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105314020 is about 10262.2619339013. The cubic root of 105314020 is about 472.2392316416.

Adding to 105314020 its reverse (20413501), we get a palindrome (125727521).

The spelling of 105314020 in words is "one hundred five million, three hundred fourteen thousand, twenty".