106819092 has 72 divisors (see below), whose sum is σ = 287292096. Its totient is φ = 33348864.

The previous prime is 106819079. The next prime is 106819099. The reversal of 106819092 is 290918601.

It is a super-2 number, since 2×106819092² = 22820636831408928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106819099) 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, 212113 + ... + 212615.

It is an arithmetic number, because the mean of its divisors is an integer number (3990168).

Almost surely, 2^106819092 is an apocalyptic number.

106819092 is a gapful number since it is divisible by the number (12) 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 106819092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143646048).

106819092 is an abundant number, since it is smaller than the sum of its proper divisors (180473004).

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

106819092 is a wasteful number, since it uses less digits than its factorization.

106819092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 106819092 is about 10335.3322152701. The cubic root of 106819092 is about 474.4782333510.

The spelling of 106819092 in words is "one hundred six million, eight hundred nineteen thousand, ninety-two".