106048584 has 96 divisors (see below), whose sum is σ = 317416320. Its totient is φ = 31815168.

The previous prime is 106048583. The next prime is 106048597. The reversal of 106048584 is 485840601.

106048584 is a `hidden beast` number, since 10 + 60 + 4 + 8 + 584 = 666.

It is a super-2 number, since 2×106048584² = 22492604336810112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106048583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26269 + ... + 30035.

It is an arithmetic number, because the mean of its divisors is an integer number (3306420).

Almost surely, 2^106048584 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 106048584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158708160).

106048584 is an abundant number, since it is smaller than the sum of its proper divisors (211367736).

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

106048584 is a wasteful number, since it uses less digits than its factorization.

106048584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 106048584 is about 10297.9893183087. The cubic root of 106048584 is about 473.3346430346.

The spelling of 106048584 in words is "one hundred six million, forty-eight thousand, five hundred eighty-four".