42105620 has 24 divisors (see below), whose sum is σ = 88620000. Its totient is φ = 16804512.

The previous prime is 42105619. The next prime is 42105629. The reversal of 42105620 is 2650124.

It is a happy number.

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 = 42105592 and 42105601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105629) by changing a digit.

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, 7871 + ... + 12089.

It is an arithmetic number, because the mean of its divisors is an integer number (3692500).

Almost surely, 2^42105620 is an apocalyptic number.

It is an amenable number.

42105620 is an abundant number, since it is smaller than the sum of its proper divisors (46514380).

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

42105620 is a wasteful number, since it uses less digits than its factorization.

42105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4725 counting only the distinct ones).

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

The square root of 42105620 is about 6488.8843417031. The cubic root of 42105620 is about 347.8937998923.

Adding to 42105620 its reverse (2650124), we get a palindrome (44755744).

The spelling of 42105620 in words is "forty-two million, one hundred five thousand, six hundred twenty".