5105610010100 has 72 divisors (see below), whose sum is σ = 11437502286336. Its totient is φ = 1976203440000.

The previous prime is 5105610010063. The next prime is 5105610010133. The reversal of 5105610010100 is 10100165015.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42071510 + ... + 42192690.

Almost surely, 2^{5105610010100} is an apocalyptic number.

5105610010100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5105610010100 is an abundant number, since it is smaller than the sum of its proper divisors (6331892276236).

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

5105610010100 is a wasteful number, since it uses less digits than its factorization.

5105610010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134817 (or 134810 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 5105610010100 its reverse (10100165015), we get a palindrome (5115710175115).

The spelling of 5105610010100 in words is "five trillion, one hundred five billion, six hundred ten million, ten thousand, one hundred".