51092100 has 144 divisors (see below), whose sum is σ = 166656000. Its totient is φ = 13426560.

The previous prime is 51092077. The next prime is 51092101. The reversal of 51092100 is 129015.

It is a super-2 number, since 2×51092100² = 5220805364820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51092101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342826 + ... + 342974.

Almost surely, 2^51092100 is an apocalyptic number.

51092100 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 51092100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328000).

51092100 is an abundant number, since it is smaller than the sum of its proper divisors (115563900).

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

51092100 is a wasteful number, since it uses less digits than its factorization.

51092100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 51092100 is about 7147.8738097423. The cubic root of 51092100 is about 371.0660756131.

The spelling of 51092100 in words is "fifty-one million, ninety-two thousand, one hundred".