161508900 has 108 divisors (see below), whose sum is σ = 543642288. Its totient is φ = 36912960.

The previous prime is 161508871. The next prime is 161508929. The reversal of 161508900 is 9805161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (161508871) and next prime (161508929).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9207 + ... + 20193.

Almost surely, 2^161508900 is an apocalyptic number.

161508900 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 161508900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271821144).

161508900 is an abundant number, since it is smaller than the sum of its proper divisors (382133388).

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

161508900 is a wasteful number, since it uses less digits than its factorization.

161508900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11018 (or 11004 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 161508900 is about 12708.6151881312. The cubic root of 161508900 is about 544.5847635303.

The spelling of 161508900 in words is "one hundred sixty-one million, five hundred eight thousand, nine hundred".