106020096 has 288 divisors, whose sum is σ = 365369088. Its totient is φ = 26542080.

The previous prime is 106020091. The next prime is 106020097. The reversal of 106020096 is 690020601.

It is a super-2 number, since 2×106020096² = 22480521511698432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106020091) 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 31 ways as a sum of consecutive naturals, for example, 2585836 + ... + 2585876.

Almost surely, 2^106020096 is an apocalyptic number.

106020096 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 106020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182684544).

106020096 is an abundant number, since it is smaller than the sum of its proper divisors (259348992).

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

106020096 is a wasteful number, since it uses less digits than its factorization.

106020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106020096 is about 10296.6060427696. The cubic root of 106020096 is about 473.2922550258.

Adding to 106020096 its reverse (690020601), we get a palindrome (796040697).

The spelling of 106020096 in words is "one hundred six million, twenty thousand, ninety-six".