161129100 has 144 divisors (see below), whose sum is σ = 513467136. Its totient is φ = 38688000.

The previous prime is 161129029. The next prime is 161129119. The reversal of 161129100 is 1921161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517945 + ... + 518255.

It is an arithmetic number, because the mean of its divisors is an integer number (3565744).

Almost surely, 2^161129100 is an apocalyptic number.

161129100 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 161129100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256733568).

161129100 is an abundant number, since it is smaller than the sum of its proper divisors (352338036).

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

161129100 is a wasteful number, since it uses less digits than its factorization.

161129100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 161129100 is about 12693.6637737101. The cubic root of 161129100 is about 544.1575515042.

The spelling of 161129100 in words is "one hundred sixty-one million, one hundred twenty-nine thousand, one hundred".