1655056100 has 72 divisors (see below), whose sum is σ = 3735464040. Its totient is φ = 635729920.

The previous prime is 1655056027. The next prime is 1655056121. The reversal of 1655056100 is 16505561.

It can be written as a sum of positive squares in 12 ways, for example, as 277755556 + 1377300544 = 16666^2 + 37112^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569852 + ... + 572748.

It is an arithmetic number, because the mean of its divisors is an integer number (51881445).

Almost surely, 2^1655056100 is an apocalyptic number.

1655056100 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 1655056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867732020).

1655056100 is an abundant number, since it is smaller than the sum of its proper divisors (2080407940).

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

1655056100 is a wasteful number, since it uses less digits than its factorization.

1655056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 1655056100 is about 40682.3807071317. The cubic root of 1655056100 is about 1182.8715136769.

The spelling of 1655056100 in words is "one billion, six hundred fifty-five million, fifty-six thousand, one hundred".