51106105505100 has 72 divisors (see below), whose sum is σ = 156565057351248. Its totient is φ = 12826630400000.

The previous prime is 51106105505089. The next prime is 51106105505137. The reversal of 51106105505100 is 150550160115.

51106105505100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51106105505100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5010397401 + ... + 5010407600.

It is an arithmetic number, because the mean of its divisors is an integer number (2174514685434).

Almost surely, 2^{51106105505100} is an apocalyptic number.

51106105505100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51106105505100 is an abundant number, since it is smaller than the sum of its proper divisors (105458951846148).

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

51106105505100 is a wasteful number, since it uses less digits than its factorization.

51106105505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020805035 (or 10020805028 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

Adding to 51106105505100 its reverse (150550160115), we get a palindrome (51256655665215).

The spelling of 51106105505100 in words is "fifty-one trillion, one hundred six billion, one hundred five million, five hundred five thousand, one hundred".