51347100 has 144 divisors (see below), whose sum is σ = 173600000. Its totient is φ = 11712960.

The previous prime is 51347099. The next prime is 51347113. The reversal of 51347100 is 174315.

It is a super-3 number, since 3×51347100³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102651 + ... + 103149.

Almost surely, 2^51347100 is an apocalyptic number.

51347100 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 51347100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86800000).

51347100 is an abundant number, since it is smaller than the sum of its proper divisors (122252900).

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

51347100 is a wasteful number, since it uses less digits than its factorization.

51347100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 51347100 is about 7165.6890806119. The cubic root of 51347100 is about 371.6823800614.

The spelling of 51347100 in words is "fifty-one million, three hundred forty-seven thousand, one hundred".