106290944 has 36 divisors (see below), whose sum is σ = 215368104. Its totient is φ = 52343808.

The previous prime is 106290913. The next prime is 106290967. The reversal of 106290944 is 449092601.

It is a super-2 number, since 2×106290944² = 22595529552822272, 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14054 + ... + 20250.

Almost surely, 2^106290944 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 106290944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107684052).

106290944 is an abundant number, since it is smaller than the sum of its proper divisors (109077160).

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

106290944 is an frugal number, since it uses more digits than its factorization.

106290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 106290944 is about 10309.7499484711. The cubic root of 106290944 is about 473.6949499181.

The spelling of 106290944 in words is "one hundred six million, two hundred ninety thousand, nine hundred forty-four".