165655142204100 has 72 divisors (see below), whose sum is σ = 495822977381760. Its totient is φ = 42651438910080.

The previous prime is 165655142204051. The next prime is 165655142204141. The reversal of 165655142204100 is 1402241556561.

It is a happy number.

165655142204100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165655142204100² (a number of 29 digits) contains 22 as substring.

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, 9520401772 + ... + 9520419171.

Almost surely, 2^{165655142204100} is an apocalyptic number.

165655142204100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165655142204100 is an abundant number, since it is smaller than the sum of its proper divisors (330167835177660).

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

165655142204100 is a wasteful number, since it uses less digits than its factorization.

165655142204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19040820989 (or 19040820982 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 165655142204100 in words is "one hundred sixty-five trillion, six hundred fifty-five billion, one hundred forty-two million, two hundred four thousand, one hundred".