104661072 has 90 divisors (see below), whose sum is σ = 304460858. Its totient is φ = 34852032.

The previous prime is 104661059. The next prime is 104661077. The reversal of 104661072 is 270166401.

104661072 is a `hidden beast` number, since 1 + 0 + 46 + 610 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 3779136 = 10044^2 + 1944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104661077) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104478 + ... + 105474.

Almost surely, 2^104661072 is an apocalyptic number.

104661072 is a gapful number since it is divisible by the number (12) 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 104661072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152230429).

104661072 is an abundant number, since it is smaller than the sum of its proper divisors (199799786).

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

104661072 is an frugal number, since it uses more digits than its factorization.

104661072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 104661072 is about 10230.3994056928. The cubic root of 104661072 is about 471.2612449854.

The spelling of 104661072 in words is "one hundred four million, six hundred sixty-one thousand, seventy-two".