51100120 has 64 divisors (see below), whose sum is σ = 122860800. Its totient is φ = 19071360.

The previous prime is 51100057. The next prime is 51100157. The reversal of 51100120 is 2100115.

It is a happy number.

It is a super-2 number, since 2×51100120² = 5222444528028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 51100097 and 51100106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53487 + ... + 54433.

It is an arithmetic number, because the mean of its divisors is an integer number (1919700).

Almost surely, 2^51100120 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 51100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61430400).

51100120 is an abundant number, since it is smaller than the sum of its proper divisors (71760680).

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

51100120 is a wasteful number, since it uses less digits than its factorization.

51100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 51100120 is about 7148.4347937153. The cubic root of 51100120 is about 371.0854901881.

Adding to 51100120 its reverse (2100115), we get a palindrome (53200235).

The spelling of 51100120 in words is "fifty-one million, one hundred thousand, one hundred twenty".