42605088100 has 27 divisors (see below), whose sum is σ = 92457520491. Its totient is φ = 17041209600.

The previous prime is 42605088089. The next prime is 42605088107. The reversal of 42605088100 is 188050624.

The square root of 42605088100 is 206410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10552631076 + 32052457024 = 102726^2 + 179032^2 .

It is a super-2 number, since 2×42605088100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42605088107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2053780 + ... + 2074420.

Almost surely, 2^42605088100 is an apocalyptic number.

42605088100 is the 206410-th square number.

It is an amenable number.

42605088100 is an abundant number, since it is smaller than the sum of its proper divisors (49852432391).

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

42605088100 is an frugal number, since it uses more digits than its factorization.

42605088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41296 (or 20648 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 42605088100 in words is "forty-two billion, six hundred five million, eighty-eight thousand, one hundred".