106311296 has 64 divisors (see below), whose sum is σ = 260695680. Its totient is φ = 42052608.

The previous prime is 106311277. The next prime is 106311329. The reversal of 106311296 is 692113601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106311296² = 22604183314399232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7085 + ... + 16211.

It is an arithmetic number, because the mean of its divisors is an integer number (4073370).

Almost surely, 2^106311296 is an apocalyptic number.

106311296 is a gapful number since it is divisible by the number (16) 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 106311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130347840).

106311296 is an abundant number, since it is smaller than the sum of its proper divisors (154384384).

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

106311296 is an equidigital number, since it uses as much as digits as its factorization.

106311296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9161 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 106311296 is about 10310.7369280765. The cubic root of 106311296 is about 473.7251814819.

Adding to 106311296 its reverse (692113601), we get a palindrome (798424897).

The spelling of 106311296 in words is "one hundred six million, three hundred eleven thousand, two hundred ninety-six".