106106100 has 36 divisors (see below), whose sum is σ = 307001184. Its totient is φ = 28294880.

The previous prime is 106106093. The next prime is 106106101. The reversal of 106106100 is 1601601.

It is a super-2 number, since 2×106106100² = 22517008914420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106106100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106106101) 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 11 ways as a sum of consecutive naturals, for example, 176544 + ... + 177143.

Almost surely, 2^106106100 is an apocalyptic number.

106106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106106100 is an abundant number, since it is smaller than the sum of its proper divisors (200895084).

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

106106100 is a wasteful number, since it uses less digits than its factorization.

106106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353704 (or 353697 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 106106100 is about 10300.7815237486. The cubic root of 106106100 is about 473.4201994027.

Adding to 106106100 its reverse (1601601), we get a palindrome (107707701).

The spelling of 106106100 in words is "one hundred six million, one hundred six thousand, one hundred".