2106610100 has 36 divisors (see below), whose sum is σ = 5224394784. Its totient is φ = 722266080.

The previous prime is 2106610069. The next prime is 2106610109. The reversal of 2106610100 is 10166012.

It is a happy number.

It is a super-2 number, since 2×2106610100² = 8875612226844020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106610109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504022 + ... + 1505421.

Almost surely, 2^2106610100 is an apocalyptic number.

2106610100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106610100 is an abundant number, since it is smaller than the sum of its proper divisors (3117784684).

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

2106610100 is a wasteful number, since it uses less digits than its factorization.

2106610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009464 (or 3009457 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2106610100 is about 45897.8223884315. The cubic root of 2106610100 is about 1281.9213698171.

Adding to 2106610100 its reverse (10166012), we get a palindrome (2116776112).

The spelling of 2106610100 in words is "two billion, one hundred six million, six hundred ten thousand, one hundred".