42105506652 has 72 divisors (see below), whose sum is σ = 116595198720. Its totient is φ = 12705829920.

The previous prime is 42105506617. The next prime is 42105506659. The reversal of 42105506652 is 25660550124.

42105506652 is a `hidden beast` number, since 42 + 1 + 0 + 550 + 6 + 65 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105506659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127798 + ... + 317085.

It is an arithmetic number, because the mean of its divisors is an integer number (1619377760).

Almost surely, 2^42105506652 is an apocalyptic number.

It is an amenable number.

42105506652 is an abundant number, since it is smaller than the sum of its proper divisors (74489692068).

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

42105506652 is a wasteful number, since it uses less digits than its factorization.

42105506652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445143 (or 445138 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 42105506652 in words is "forty-two billion, one hundred five million, five hundred six thousand, six hundred fifty-two".