105024620 has 24 divisors (see below), whose sum is σ = 223661088. Its totient is φ = 41417600.

The previous prime is 105024607. The next prime is 105024643. The reversal of 105024620 is 26420501.

It is a happy number.

It is a super-2 number, since 2×105024620² = 22060341612288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105024592 and 105024601.

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 7 ways as a sum of consecutive naturals, for example, 35561 + ... + 38400.

It is an arithmetic number, because the mean of its divisors is an integer number (9319212).

Almost surely, 2^105024620 is an apocalyptic number.

105024620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105024620 is an abundant number, since it is smaller than the sum of its proper divisors (118636468).

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

105024620 is a wasteful number, since it uses less digits than its factorization.

105024620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74041 (or 74039 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105024620 is about 10248.1520285367. The cubic root of 105024620 is about 471.8062680472.

The spelling of 105024620 in words is "one hundred five million, twenty-four thousand, six hundred twenty".