51105936 has 80 divisors (see below), whose sum is σ = 152668800. Its totient is φ = 14429184.

The previous prime is 51105911. The next prime is 51105941. The reversal of 51105936 is 63950115.

It is a super-2 number, since 2×51105936² = 5223633388872192, which contains 22 as substring.

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, 29050 + ... + 30758.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 2^51105936 is an apocalyptic number.

51105936 is a gapful number since it is divisible by the number (56) 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 51105936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76334400).

51105936 is an abundant number, since it is smaller than the sum of its proper divisors (101562864).

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

51105936 is a wasteful number, since it uses less digits than its factorization.

51105936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 51105936 is about 7148.8415844807. The cubic root of 51105936 is about 371.0995681155.

The spelling of 51105936 in words is "fifty-one million, one hundred five thousand, nine hundred thirty-six".