106000000 has 112 divisors (see below), whose sum is σ = 268941870. Its totient is φ = 41600000.

The previous prime is 105999997. The next prime is 106000001. The reversal of 106000000 is 601.

It can be written as a sum of positive squares in 7 ways, for example, as 44408896 + 61591104 = 6664^2 + 7848^2 .

It is a super-2 number, since 2×106000000² = 22472000000000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106000001) 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 13 ways as a sum of consecutive naturals, for example, 1999974 + ... + 2000026.

Almost surely, 2^106000000 is an apocalyptic number.

106000000 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 106000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134470935).

106000000 is an abundant number, since it is smaller than the sum of its proper divisors (162941870).

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

106000000 is an frugal number, since it uses more digits than its factorization.

106000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 106000000 is about 10295.6301409870. The cubic root of 106000000 is about 473.2623491163.

Adding to 106000000 its reverse (601), we get a palindrome (106000601).

The spelling of 106000000 in words is "one hundred six million", and thus it is an aban number.