104787072 has 96 divisors (see below), whose sum is σ = 324777180. Its totient is φ = 32237568.

The previous prime is 104787061. The next prime is 104787073. The reversal of 104787072 is 270787401.

It can be written as a sum of positive squares in 2 ways, for example, as 96353856 + 8433216 = 9816^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104787073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11478 + ... + 18474.

Almost surely, 2^104787072 is an apocalyptic number.

104787072 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 104787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162388590).

104787072 is an abundant number, since it is smaller than the sum of its proper divisors (219990108).

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

104787072 is a wasteful number, since it uses less digits than its factorization.

104787072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 104787072 is about 10236.5556707322. Note that the first 3 decimals coincide. The cubic root of 104787072 is about 471.4502840846.

The spelling of 104787072 in words is "one hundred four million, seven hundred eighty-seven thousand, seventy-two".