161587062656100 has 135 divisors (see below), whose sum is σ = 523805128858011. Its totient is φ = 43089578294400.

The previous prime is 161587062656081. The next prime is 161587062656161. The reversal of 161587062656100 is 1656260785161.

The square root of 161587062656100 is 12711690.

It is a perfect power (a square), and thus also a powerful number.

161587062656100 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 8 + 7 + 0 + 626 + 5 + 6 + 1 + 0 + 0 = 666.

161587062656100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16263266135076 + 145323796521024 = 4032774^2 + 12055032^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×161587062656100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1143981480 + ... + 1144122720.

Almost surely, 2^{161587062656100} is an apocalyptic number.

161587062656100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161587062656100 is the 12711690-th square number.

It is an amenable number.

161587062656100 is an abundant number, since it is smaller than the sum of its proper divisors (362218066201911).

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

161587062656100 is an frugal number, since it uses more digits than its factorization.

161587062656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282508 (or 141251 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 161587062656100 in words is "one hundred sixty-one trillion, five hundred eighty-seven billion, sixty-two million, six hundred fifty-six thousand, one hundred".