51942968100 has 243 divisors, whose sum is σ = 166695544561. Its totient is φ = 13528737600.

The previous prime is 51942968093. The next prime is 51942968107. The reversal of 51942968100 is 186924915.

The square root of 51942968100 is 227910.

It is a perfect power (a square), and thus also a powerful number.

51942968100 is a `hidden beast` number, since 519 + 4 + 29 + 6 + 8 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (51942968093) and next prime (51942968107).

It can be written as a sum of positive squares in only one way, i.e., 18699468516 + 33243499584 = 136746^2 + 182328^2 .

It is a super-2 number, since 2×51942968100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51942968107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 485448247 + ... + 485448353.

Almost surely, 2^51942968100 is an apocalyptic number.

51942968100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51942968100 is the 227910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51942968100

51942968100 is an abundant number, since it is smaller than the sum of its proper divisors (114752576461).

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

51942968100 is a wasteful number, since it uses less digits than its factorization.

51942968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 51942968100 in words is "fifty-one billion, nine hundred forty-two million, nine hundred sixty-eight thousand, one hundred".