161140100 has 72 divisors (see below), whose sum is σ = 383600448. Its totient is φ = 58268800.

The previous prime is 161140097. The next prime is 161140117. The reversal of 161140100 is 1041161.

It is a super-2 number, since 2×161140100² = 51932263656020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289022 + ... + 289578.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^161140100 is an apocalyptic number.

161140100 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 161140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191800224).

161140100 is an abundant number, since it is smaller than the sum of its proper divisors (222460348).

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

161140100 is a wasteful number, since it uses less digits than its factorization.

161140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 161140100 is about 12694.0970533552. The cubic root of 161140100 is about 544.1699341151.

Adding to 161140100 its reverse (1041161), we get a palindrome (162181261).

The spelling of 161140100 in words is "one hundred sixty-one million, one hundred forty thousand, one hundred".