106510100 has 36 divisors (see below), whose sum is σ = 244726524. Its totient is φ = 40097280.

The previous prime is 106510099. The next prime is 106510133. The reversal of 106510100 is 1015601.

It can be written as a sum of positive squares in 6 ways, for example, as 1406596 + 105103504 = 1186^2 + 10252^2 .

It is a super-2 number, since 2×106510100² = 22688802804020000, 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29627 + ... + 33026.

It is an arithmetic number, because the mean of its divisors is an integer number (6797959).

Almost surely, 2^106510100 is an apocalyptic number.

106510100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106510100 is an abundant number, since it is smaller than the sum of its proper divisors (138216424).

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

106510100 is a wasteful number, since it uses less digits than its factorization.

106510100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62684 (or 62677 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 106510100 is about 10320.3730552728. The cubic root of 106510100 is about 474.0202890898.

Adding to 106510100 its reverse (1015601), we get a palindrome (107525701).

The spelling of 106510100 in words is "one hundred six million, five hundred ten thousand, one hundred".