42108300 has 216 divisors, whose sum is σ = 146917680. Its totient is φ = 10022400.

The previous prime is 42108293. The next prime is 42108301. The reversal of 42108300 is 380124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42108301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 690270 + ... + 690330.

Almost surely, 2^42108300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42108300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73458840).

42108300 is an abundant number, since it is smaller than the sum of its proper divisors (104809380).

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

42108300 is a wasteful number, since it uses less digits than its factorization.

42108300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42108300 is about 6489.0908454112. The cubic root of 42108300 is about 347.9011808200.

Adding to 42108300 its reverse (380124), we get a palindrome (42488424).

It can be divided in two parts, 4 and 2108300, that added together give a square (2108304 = 1452²).

The spelling of 42108300 in words is "forty-two million, one hundred eight thousand, three hundred".