106069392 has 320 divisors, whose sum is σ = 382475520. Its totient is φ = 27648000.

The previous prime is 106069391. The next prime is 106069393. The reversal of 106069392 is 293960601.

106069392 is a `hidden beast` number, since 10 + 606 + 9 + 39 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106069391) and next prime (106069393).

It is a super-2 number, since 2×106069392² = 22501431838499328, 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 (106069391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1050142 + ... + 1050242.

It is an arithmetic number, because the mean of its divisors is an integer number (1195236).

Almost surely, 2^106069392 is an apocalyptic number.

106069392 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 106069392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

106069392 is an abundant number, since it is smaller than the sum of its proper divisors (276406128).

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

106069392 is a wasteful number, since it uses less digits than its factorization.

106069392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 106069392 is about 10298.9995630644. Note that the first 3 decimals coincide. The cubic root of 106069392 is about 473.3655989819.

The spelling of 106069392 in words is "one hundred six million, sixty-nine thousand, three hundred ninety-two".