105042620 has 24 divisors (see below), whose sum is σ = 223614384. Its totient is φ = 41440896.

The previous prime is 105042607. The next prime is 105042629. The reversal of 105042620 is 26240501.

It is a happy number.

It is a super-2 number, since 2×105042620² = 22067904032928800, 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 = 105042592 and 105042601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105042629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34514 + ... + 37433.

It is an arithmetic number, because the mean of its divisors is an integer number (9317266).

Almost surely, 2^105042620 is an apocalyptic number.

105042620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105042620 is an abundant number, since it is smaller than the sum of its proper divisors (118571764).

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

105042620 is a wasteful number, since it uses less digits than its factorization.

105042620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72029 (or 72027 counting only the distinct ones).

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

The square root of 105042620 is about 10249.0301980236. The cubic root of 105042620 is about 471.8332205455.

The spelling of 105042620 in words is "one hundred five million, forty-two thousand, six hundred twenty".