51101600 has 72 divisors (see below), whose sum is σ = 136116288. Its totient is φ = 18579200.

The previous prime is 51101597. The next prime is 51101647. The reversal of 51101600 is 610115.

It is a super-2 number, since 2×51101600² = 5222747045120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5897 + ... + 11703.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^51101600 is an apocalyptic number.

51101600 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 51101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058144).

51101600 is an abundant number, since it is smaller than the sum of its proper divisors (85014688).

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

51101600 is a wasteful number, since it uses less digits than its factorization.

51101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 51101600 is about 7148.5383121307. The cubic root of 51101600 is about 371.0890727056.

Adding to 51101600 its reverse (610115), we get a palindrome (51711715).

The spelling of 51101600 in words is "fifty-one million, one hundred one thousand, six hundred".