1661655010100 has 36 divisors (see below), whose sum is σ = 3607967827884. Its totient is φ = 664260814080.

The previous prime is 1661655010031. The next prime is 1661655010133. The reversal of 1661655010100 is 10105561661.

It can be written as a sum of positive squares in 6 ways, for example, as 173967404836 + 1487687605264 = 417094^2 + 1219708^2 .

It is a super-2 number, since 2×1661655010100² (a number of 25 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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4848347 + ... + 5179746.

Almost surely, 2^{1661655010100} is an apocalyptic number.

1661655010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1661655010100 is an abundant number, since it is smaller than the sum of its proper divisors (1946312817784).

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

1661655010100 is a wasteful number, since it uses less digits than its factorization.

1661655010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029764 (or 10029757 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 1661655010100 in words is "one trillion, six hundred sixty-one billion, six hundred fifty-five million, ten thousand, one hundred".