106084096 has 72 divisors (see below), whose sum is σ = 226638720. Its totient is φ = 49437696.

The previous prime is 106084091. The next prime is 106084109. The reversal of 106084096 is 690480601.

It is a super-2 number, since 2×106084096² = 22507670848274432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106084091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252975 + ... + 253393.

It is an arithmetic number, because the mean of its divisors is an integer number (3147760).

Almost surely, 2^106084096 is an apocalyptic number.

106084096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319360).

106084096 is an abundant number, since it is smaller than the sum of its proper divisors (120554624).

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

106084096 is an equidigital number, since it uses as much as digits as its factorization.

106084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 106084096 is about 10299.7133940707. The cubic root of 106084096 is about 473.3874716008.

The spelling of 106084096 in words is "one hundred six million, eighty-four thousand, ninety-six".