10606106100 has 72 divisors (see below), whose sum is σ = 31003446208. Its totient is φ = 2799129600.

The previous prime is 10606106029. The next prime is 10606106131. The reversal of 10606106100 is 160160601.

10606106100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10606106100² (a number of 21 digits) 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153136 + ... + 211335.

Almost surely, 2^10606106100 is an apocalyptic number.

10606106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10606106100 is an abundant number, since it is smaller than the sum of its proper divisors (20397340108).

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

10606106100 is a wasteful number, since it uses less digits than its factorization.

10606106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364585 (or 364578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10606106100 its reverse (160160601), we get a palindrome (10766266701).

The spelling of 10606106100 in words is "ten billion, six hundred six million, one hundred six thousand, one hundred".