161013600 has 432 divisors, whose sum is σ = 658082880. Its totient is φ = 36633600.

The previous prime is 161013577. The next prime is 161013607. The reversal of 161013600 is 6310161.

161013600 is a `hidden beast` number, since 1 + 61 + 0 + 1 + 3 + 600 = 666.

161013600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161013607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1504747 + ... + 1504853.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^161013600 is an apocalyptic number.

161013600 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 161013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440).

161013600 is an abundant number, since it is smaller than the sum of its proper divisors (497069280).

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

161013600 is a wasteful number, since it uses less digits than its factorization.

161013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 161013600 is about 12689.1134442088. The cubic root of 161013600 is about 544.0275000516.

Adding to 161013600 its reverse (6310161), we get a palindrome (167323761).

It can be divided in two parts, 16101 and 3600, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 161013600 in words is "one hundred sixty-one million, thirteen thousand, six hundred".