42308376100 has 81 divisors (see below), whose sum is σ = 93504486033. Its totient is φ = 16616460960.

The previous prime is 42308376049. The next prime is 42308376101. The reversal of 42308376100 is 167380324.

It is a happy number.

The square root of 42308376100 is 205690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15231015396 + 27077360704 = 123414^2 + 164552^2 .

It is a super-3 number, since 3×42308376100³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42308376101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 137812147 + ... + 137812453.

Almost surely, 2^42308376100 is an apocalyptic number.

42308376100 is the 205690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42308376100

42308376100 is an abundant number, since it is smaller than the sum of its proper divisors (51196109933).

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

42308376100 is an equidigital number, since it uses as much as digits as its factorization.

42308376100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 42308376100 in words is "forty-two billion, three hundred eight million, three hundred seventy-six thousand, one hundred".