161892272100 has 288 divisors, whose sum is σ = 535201300480. Its totient is φ = 37453570560.

The previous prime is 161892272071. The next prime is 161892272111. The reversal of 161892272100 is 1272298161.

It is a super-4 number, since 4×161892272100⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 9402099 + ... + 9419301.

Almost surely, 2^161892272100 is an apocalyptic number.

161892272100 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 161892272100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267600650240).

161892272100 is an abundant number, since it is smaller than the sum of its proper divisors (373309028380).

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

161892272100 is a wasteful number, since it uses less digits than its factorization.

161892272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17379 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 161892272100 in words is "one hundred sixty-one billion, eight hundred ninety-two million, two hundred seventy-two thousand, one hundred".