1656106100 has 144 divisors (see below), whose sum is σ = 4055740416. Its totient is φ = 581808000.

The previous prime is 1656106097. The next prime is 1656106117. The reversal of 1656106100 is 16016561.

It is a self number, because there is not a number n which added to its sum of digits gives 1656106100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5324945 + ... + 5325255.

It is an arithmetic number, because the mean of its divisors is an integer number (28164864).

Almost surely, 2^1656106100 is an apocalyptic number.

1656106100 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 1656106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027870208).

1656106100 is an abundant number, since it is smaller than the sum of its proper divisors (2399634316).

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

1656106100 is a wasteful number, since it uses less digits than its factorization.

1656106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1656106100 is about 40695.2835105003. The cubic root of 1656106100 is about 1183.1216064138.

The spelling of 1656106100 in words is "one billion, six hundred fifty-six million, one hundred six thousand, one hundred".