106000992 has 36 divisors (see below), whose sum is σ = 301441140. Its totient is φ = 35333568.

The previous prime is 106000987. The next prime is 106001009. The reversal of 106000992 is 299000601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106000992² = 22472420609968128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 183742 + ... + 184317.

It is an arithmetic number, because the mean of its divisors is an integer number (8373365).

Almost surely, 2^106000992 is an apocalyptic number.

106000992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106000992 is an abundant number, since it is smaller than the sum of its proper divisors (195440148).

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

106000992 is a wasteful number, since it uses less digits than its factorization.

106000992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368075 (or 368064 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 106000992 is about 10295.6783166531. The cubic root of 106000992 is about 473.2638254521.

The spelling of 106000992 in words is "one hundred six million, nine hundred ninety-two", and thus it is an aban number.