161606605160100 has 288 divisors, whose sum is σ = 508908202790400. Its totient is φ = 39458893132800.

The previous prime is 161606605160093. The next prime is 161606605160123. The reversal of 161606605160100 is 1061506606161.

It is a super-2 number, since 2×161606605160100² (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 95 ways as a sum of consecutive naturals, for example, 21774531 + ... + 28237269.

It is an arithmetic number, because the mean of its divisors is an integer number (1767042370800).

Almost surely, 2^{161606605160100} is an apocalyptic number.

161606605160100 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 161606605160100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254454101395200).

161606605160100 is an abundant number, since it is smaller than the sum of its proper divisors (347301597630300).

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

161606605160100 is a wasteful number, since it uses less digits than its factorization.

161606605160100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462923 (or 6462916 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 161606605160100 in words is "one hundred sixty-one trillion, six hundred six billion, six hundred five million, one hundred sixty thousand, one hundred".