106083744 has 96 divisors (see below), whose sum is σ = 302279040. Its totient is φ = 32381952.

The previous prime is 106083743. The next prime is 106083749. The reversal of 106083744 is 447380601.

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

It is a super-2 number, since 2×106083744² = 22507521482115072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106083743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208162 + ... + 208670.

It is an arithmetic number, because the mean of its divisors is an integer number (3148740).

Almost surely, 2^106083744 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 106083744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151139520).

106083744 is an abundant number, since it is smaller than the sum of its proper divisors (196195296).

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

106083744 is a wasteful number, since it uses less digits than its factorization.

106083744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 106083744 is about 10299.6963062024. The cubic root of 106083744 is about 473.3869480144.

The spelling of 106083744 in words is "one hundred six million, eighty-three thousand, seven hundred forty-four".