161461104 has 160 divisors (see below), whose sum is σ = 527109120. Its totient is φ = 41496576.

The previous prime is 161461103. The next prime is 161461109. The reversal of 161461104 is 401164161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161461103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130762 + ... + 131990.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2^161461104 is an apocalyptic number.

161461104 is a gapful number since it is divisible by the number (14) 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 161461104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

161461104 is an abundant number, since it is smaller than the sum of its proper divisors (365648016).

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

161461104 is a wasteful number, since it uses less digits than its factorization.

161461104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 161461104 is about 12706.7345923333. The cubic root of 161461104 is about 544.5310378194.

The spelling of 161461104 in words is "one hundred sixty-one million, four hundred sixty-one thousand, one hundred four".