106117000 has 96 divisors (see below), whose sum is σ = 273251160. Its totient is φ = 38544000.

The previous prime is 106116953. The next prime is 106117001. The reversal of 106117000 is 711601.

It can be written as a sum of positive squares in 4 ways, for example, as 50495236 + 55621764 = 7106^2 + 7458^2 .

It is a super-2 number, since 2×106117000² = 22521635378000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106117001) 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 23 ways as a sum of consecutive naturals, for example, 120562 + ... + 121438.

Almost surely, 2^106117000 is an apocalyptic number.

106117000 is a gapful number since it is divisible by the number (10) 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 106117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136625580).

106117000 is an abundant number, since it is smaller than the sum of its proper divisors (167134160).

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

106117000 is a wasteful number, since it uses less digits than its factorization.

106117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 106117000 is about 10301.3105962300. The cubic root of 106117000 is about 473.4364099174.

Adding to 106117000 its reverse (711601), we get a palindrome (106828601).

The spelling of 106117000 in words is "one hundred six million, one hundred seventeen thousand".