51061050100 has 72 divisors (see below), whose sum is σ = 111888885528. Its totient is φ = 20224512000.

The previous prime is 51061050071. The next prime is 51061050101. The reversal of 51061050100 is 105016015.

It can be written as a sum of positive squares in 12 ways, for example, as 42901179876 + 8159870224 = 207126^2 + 90332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51061050101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21480112 + ... + 21482488.

It is an arithmetic number, because the mean of its divisors is an integer number (1554012299).

Almost surely, 2^51061050100 is an apocalyptic number.

51061050100 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 51061050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55944442764).

51061050100 is an abundant number, since it is smaller than the sum of its proper divisors (60827835428).

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

51061050100 is a wasteful number, since it uses less digits than its factorization.

51061050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 51061050100 its reverse (105016015), we get a palindrome (51166066115).

The spelling of 51061050100 in words is "fifty-one billion, sixty-one million, fifty thousand, one hundred".