51106104 has 96 divisors (see below), whose sum is σ = 163338240. Its totient is φ = 14126400.

The previous prime is 51106093. The next prime is 51106117. The reversal of 51106104 is 40160115.

51106104 is a `hidden beast` number, since 51 + 1 + 0 + 610 + 4 = 666.

It is a super-2 number, since 2×51106104² = 5223667732117632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13989 + ... + 17259.

It is an arithmetic number, because the mean of its divisors is an integer number (1701440).

Almost surely, 2^51106104 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 51106104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81669120).

51106104 is an abundant number, since it is smaller than the sum of its proper divisors (112232136).

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

51106104 is a wasteful number, since it uses less digits than its factorization.

51106104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51106104 is about 7148.8533346265. The cubic root of 51106104 is about 371.0999747522.

Adding to 51106104 its reverse (40160115), we get a palindrome (91266219).

The spelling of 51106104 in words is "fifty-one million, one hundred six thousand, one hundred four".