106110000 has 250 divisors, whose sum is σ = 386698092. Its totient is φ = 28080000.

The previous prime is 106109987. The next prime is 106110007. The reversal of 106110000 is 11601.

It is a tau number, because it is divible by the number of its divisors (250).

It is a super-2 number, since 2×106110000² = 22518664200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (106110007) 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 49 ways as a sum of consecutive naturals, for example, 809935 + ... + 810065.

Almost surely, 2^106110000 is an apocalyptic number.

106110000 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 106110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193349046).

106110000 is an abundant number, since it is smaller than the sum of its proper divisors (280588092).

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

106110000 is an equidigital number, since it uses as much as digits as its factorization.

106110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 106110000 is about 10300.9708280336. The cubic root of 106110000 is about 473.4259996226.

Adding to 106110000 its reverse (11601), we get a palindrome (106121601).

The spelling of 106110000 in words is "one hundred six million, one hundred ten thousand".