106368192 has 336 divisors, whose sum is σ = 385462272. Its totient is φ = 27371520.

The previous prime is 106368187. The next prime is 106368193. The reversal of 106368192 is 291863601.

106368192 is a `hidden beast` number, since 1 + 0 + 636 + 8 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×106368192² = 22628384538697728, 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 (106368193) 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 47 ways as a sum of consecutive naturals, for example, 2874798 + ... + 2874834.

Almost surely, 2^106368192 is an apocalyptic number.

106368192 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 106368192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192731136).

106368192 is an abundant number, since it is smaller than the sum of its proper divisors (279094080).

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

106368192 is a wasteful number, since it uses less digits than its factorization.

106368192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 106368192 is about 10313.4956246658. The cubic root of 106368192 is about 473.8096763007.

The spelling of 106368192 in words is "one hundred six million, three hundred sixty-eight thousand, one hundred ninety-two".