106042316532 has 24 divisors (see below), whose sum is σ = 247635419136. Its totient is φ = 35318389248.

The previous prime is 106042316519. The next prime is 106042316551. The reversal of 106042316532 is 235613240601.

106042316532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106042316532² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106042316493 and 106042316502.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3615988 + ... + 3645195.

It is an arithmetic number, because the mean of its divisors is an integer number (10318142464).

Almost surely, 2^106042316532 is an apocalyptic number.

106042316532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106042316532 is an abundant number, since it is smaller than the sum of its proper divisors (141593102604).

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

106042316532 is a wasteful number, since it uses less digits than its factorization.

106042316532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262407 (or 7262405 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 106042316532 in words is "one hundred six billion, forty-two million, three hundred sixteen thousand, five hundred thirty-two".