42153300 has 108 divisors (see below), whose sum is σ = 151025056. Its totient is φ = 9633600.

The previous prime is 42153263. The next prime is 42153329. The reversal of 42153300 is 335124.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2955 + ... + 9645.

Almost surely, 2^42153300 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 42153300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75512528).

42153300 is an abundant number, since it is smaller than the sum of its proper divisors (108871756).

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

42153300 is a wasteful number, since it uses less digits than its factorization.

42153300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 42153300 is about 6492.5572773754. The cubic root of 42153300 is about 348.0250675561.

Adding to 42153300 its reverse (335124), we get a palindrome (42488424).

The spelling of 42153300 in words is "forty-two million, one hundred fifty-three thousand, three hundred".