106321992 has 64 divisors (see below), whose sum is σ = 307660800. Its totient is φ = 29989440.

The previous prime is 106321973. The next prime is 106321997. The reversal of 106321992 is 299123601.

It is a super-2 number, since 2×106321992² = 22608731965696128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106321997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9267 + ... + 17277.

It is an arithmetic number, because the mean of its divisors is an integer number (4807200).

Almost surely, 2^106321992 is an apocalyptic number.

106321992 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 106321992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153830400).

106321992 is an abundant number, since it is smaller than the sum of its proper divisors (201338808).

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

106321992 is a wasteful number, since it uses less digits than its factorization.

106321992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 106321992 is about 10311.2555976467. The cubic root of 106321992 is about 473.7410681431.

The spelling of 106321992 in words is "one hundred six million, three hundred twenty-one thousand, nine hundred ninety-two".