51104000 has 72 divisors (see below), whose sum is σ = 127386168. Its totient is φ = 20428800.

The previous prime is 51103979. The next prime is 51104033. The reversal of 51104000 is 40115.

It can be written as a sum of positive squares in 4 ways, for example, as 6801664 + 44302336 = 2608^2 + 6656^2 .

It is a super-2 number, since 2×51104000² = 5223237632000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31202 + ... + 32798.

Almost surely, 2^51104000 is an apocalyptic number.

51104000 is a gapful number since it is divisible by the number (50) 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 51104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63693084).

51104000 is an abundant number, since it is smaller than the sum of its proper divisors (76282168).

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

51104000 is an equidigital number, since it uses as much as digits as its factorization.

51104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 51104000 is about 7148.7061766448. The cubic root of 51104000 is about 371.0948820464.

Adding to 51104000 its reverse (40115), we get a palindrome (51144115).

The spelling of 51104000 in words is "fifty-one million, one hundred four thousand".