42052535100 has 216 divisors, whose sum is σ = 136966455808. Its totient is φ = 11191608000.

The previous prime is 42052535087. The next prime is 42052535141. The reversal of 42052535100 is 153525024.

It is a happy number.

42052535100 is a `hidden beast` number, since 4 + 2 + 0 + 525 + 35 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14748675 + ... + 14751525.

Almost surely, 2^42052535100 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 42052535100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68483227904).

42052535100 is an abundant number, since it is smaller than the sum of its proper divisors (94913920708).

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

42052535100 is a wasteful number, since it uses less digits than its factorization.

42052535100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

It can be divided in two parts, 420525 and 35100, that added together give a square (455625 = 675²).

The spelling of 42052535100 in words is "forty-two billion, fifty-two million, five hundred thirty-five thousand, one hundred".