106582944 has 96 divisors (see below), whose sum is σ = 308798784. Its totient is φ = 31979520.

The previous prime is 106582937. The next prime is 106582963. The reversal of 106582944 is 449285601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106582944² = 22719847903414272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50127 + ... + 52209.

It is an arithmetic number, because the mean of its divisors is an integer number (3216654).

Almost surely, 2^106582944 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 106582944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154399392).

106582944 is an abundant number, since it is smaller than the sum of its proper divisors (202215840).

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

106582944 is a wasteful number, since it uses less digits than its factorization.

106582944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 106582944 is about 10323.9015880625. The cubic root of 106582944 is about 474.1283278741.

The spelling of 106582944 in words is "one hundred six million, five hundred eighty-two thousand, nine hundred forty-four".