106512192 has 112 divisors (see below), whose sum is σ = 319308480. Its totient is φ = 34804224.

The previous prime is 106512181. The next prime is 106512221. The reversal of 106512192 is 291215601.

106512192 is a `hidden beast` number, since 1 + 0 + 651 + 2 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×106512192² = 22689694089289728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 91003 + ... + 92165.

Almost surely, 2^106512192 is an apocalyptic number.

106512192 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 106512192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159654240).

106512192 is an abundant number, since it is smaller than the sum of its proper divisors (212796288).

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

106512192 is a wasteful number, since it uses less digits than its factorization.

106512192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 106512192 is about 10320.4744077005. The cubic root of 106512192 is about 474.0233925324.

Adding to 106512192 its reverse (291215601), we get a palindrome (397727793).

The spelling of 106512192 in words is "one hundred six million, five hundred twelve thousand, one hundred ninety-two".