106052558032 has 80 divisors (see below), whose sum is σ = 217094676480. Its totient is φ = 50088969216.

The previous prime is 106052557999. The next prime is 106052558047. The reversal of 106052558032 is 230855250601.

It is a happy number.

It is a super-2 number, since 2×106052558032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106052557982 and 106052558000.

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 15 ways as a sum of consecutive naturals, for example, 12550833 + ... + 12559279.

It is an arithmetic number, because the mean of its divisors is an integer number (2713683456).

Almost surely, 2^106052558032 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 106052558032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108547338240).

106052558032 is an abundant number, since it is smaller than the sum of its proper divisors (111042118448).

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

106052558032 is a wasteful number, since it uses less digits than its factorization.

106052558032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8900 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 106052558032 in words is "one hundred six billion, fifty-two million, five hundred fifty-eight thousand, thirty-two".