51064104 has 128 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 13277952.

The previous prime is 51064081. The next prime is 51064109. The reversal of 51064104 is 40146015.

It is a super-3 number, since 3×51064104³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (51064109) 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 31 ways as a sum of consecutive naturals, for example, 224839 + ... + 225065.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^51064104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51064104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

51064104 is an abundant number, since it is smaller than the sum of its proper divisors (108280536).

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

51064104 is a wasteful number, since it uses less digits than its factorization.

51064104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51064104 is about 7145.9151968100. The cubic root of 51064104 is about 370.9982878085.

The spelling of 51064104 in words is "fifty-one million, sixty-four thousand, one hundred four".