106778331 has 48 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 63141120.

The previous prime is 106778299. The next prime is 106778381. The reversal of 106778331 is 133877601.

It is not a de Polignac number, because 106778331 - 2⁵ = 106778299 is a prime.

It is a super-2 number, since 2×106778331² = 22803223942291122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106778381) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 114475 + ... + 115403.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2^106778331 is an apocalyptic number.

106778331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106778331 is a deficient number, since it is larger than the sum of its proper divisors (71960229).

106778331 is an equidigital number, since it uses as much as digits as its factorization.

106778331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106778331 is about 10333.3601021159. The cubic root of 106778331 is about 474.4178737672.

The spelling of 106778331 in words is "one hundred six million, seven hundred seventy-eight thousand, three hundred thirty-one".