5105601106100 has 36 divisors (see below), whose sum is σ = 12086350257408. Its totient is φ = 1856582220000.

The previous prime is 5105601106097. The next prime is 5105601106103. The reversal of 5105601106100 is 16011065015.

It is an interprime number because it is at equal distance from previous prime (5105601106097) and next prime (5105601106103).

It is a self number, because there is not a number n which added to its sum of digits gives 5105601106100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105601106103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2320726676 + ... + 2320728875.

Almost surely, 2^{5105601106100} is an apocalyptic number.

5105601106100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5105601106100 is an abundant number, since it is smaller than the sum of its proper divisors (6980749151308).

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

5105601106100 is a wasteful number, since it uses less digits than its factorization.

5105601106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641455576 (or 4641455569 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 5105601106100 in words is "five trillion, one hundred five billion, six hundred one million, one hundred six thousand, one hundred".