106030032 has 120 divisors (see below), whose sum is σ = 300471840. Its totient is φ = 32175360.

The previous prime is 106030031. The next prime is 106030079. The reversal of 106030032 is 230030601.

It is a super-2 number, since 2×106030032² = 22484735371842048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106029993 and 106030020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106030031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 502407 + ... + 502617.

It is an arithmetic number, because the mean of its divisors is an integer number (2503932).

Almost surely, 2^106030032 is an apocalyptic number.

106030032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150235920).

106030032 is an abundant number, since it is smaller than the sum of its proper divisors (194441808).

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

106030032 is a wasteful number, since it uses less digits than its factorization.

106030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 106030032 is about 10297.0885205479. The cubic root of 106030032 is about 473.3070399113.

Adding to 106030032 its reverse (230030601), we get a palindrome (336060633).

The spelling of 106030032 in words is "one hundred six million, thirty thousand, thirty-two".