104631072 has 288 divisors, whose sum is σ = 361972800. Its totient is φ = 26191872.

The previous prime is 104631061. The next prime is 104631077. The reversal of 104631072 is 270136401.

It is a super-2 number, since 2×104631072² = 21895322455738368, which contains 22 as substring.

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 (104631077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773379 + ... + 1773437.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^104631072 is an apocalyptic number.

104631072 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 104631072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180986400).

104631072 is an abundant number, since it is smaller than the sum of its proper divisors (257341728).

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

104631072 is a wasteful number, since it uses less digits than its factorization.

104631072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 104631072 is about 10228.9330821939. The cubic root of 104631072 is about 471.2162133160.

Adding to 104631072 its reverse (270136401), we get a palindrome (374767473).

The spelling of 104631072 in words is "one hundred four million, six hundred thirty-one thousand, seventy-two".