106678944 has 168 divisors, whose sum is σ = 334654740. Its totient is φ = 33343488.

The previous prime is 106678919. The next prime is 106678973. The reversal of 106678944 is 449876601.

It can be written as a sum of positive squares in 2 ways, for example, as 105267600 + 1411344 = 10260^2 + 1188^2 .

It is a super-2 number, since 2×106678944² = 22760794185910272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106678944.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 396442 + ... + 396710.

Almost surely, 2^106678944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167327370).

106678944 is an abundant number, since it is smaller than the sum of its proper divisors (227975796).

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

106678944 is an equidigital number, since it uses as much as digits as its factorization.

106678944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106678944 is about 10328.5499466285. The cubic root of 106678944 is about 474.2706353859.

The spelling of 106678944 in words is "one hundred six million, six hundred seventy-eight thousand, nine hundred forty-four".