51102400 has 126 divisors (see below), whose sum is σ = 135669020. Its totient is φ = 18892800.

The previous prime is 51102397. The next prime is 51102407. The reversal of 51102400 is 420115.

It is a super-2 number, since 2×51102400² = 5222910571520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51102407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1246380 + ... + 1246420.

Almost surely, 2^51102400 is an apocalyptic number.

51102400 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 51102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67834510).

51102400 is an abundant number, since it is smaller than the sum of its proper divisors (84566620).

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

51102400 is a wasteful number, since it uses less digits than its factorization.

51102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 51102400 is about 7148.5942674067. The cubic root of 51102400 is about 371.0910091727.

Adding to 51102400 its reverse (420115), we get a palindrome (51522515).

The spelling of 51102400 in words is "fifty-one million, one hundred two thousand, four hundred".