42527100 has 216 divisors, whose sum is σ = 156739968. Its totient is φ = 8803200.

The previous prime is 42527077. The next prime is 42527143. The reversal of 42527100 is 172524.

42527100 = T₉₆ + T₉₇ + ... + T₆₃₄.

42527100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161569 + ... + 161831.

It is an arithmetic number, because the mean of its divisors is an integer number (725648).

Almost surely, 2^42527100 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 42527100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

42527100 is an abundant number, since it is smaller than the sum of its proper divisors (114212868).

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

42527100 is a wasteful number, since it uses less digits than its factorization.

42527100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 42527100 is about 6521.2805490946. The cubic root of 42527100 is about 349.0507612200.

Adding to 42527100 its reverse (172524), we get a palindrome (42699624).

The spelling of 42527100 in words is "forty-two million, five hundred twenty-seven thousand, one hundred".