55606100600105 has 64 divisors (see below), whose sum is σ = 74991623731200. Its totient is φ = 39232432512000.

The previous prime is 55606100600027. The next prime is 55606100600131. The reversal of 55606100600105 is 50100600160655.

It is not a de Polignac number, because 55606100600105 - 2⁸ = 55606100599849 is a prime.

It is a super-2 number, since 2×55606100600105² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4302872174 + ... + 4302885096.

It is an arithmetic number, because the mean of its divisors is an integer number (1171744120800).

Almost surely, 2^{55606100600105} is an apocalyptic number.

55606100600105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55606100600105 is a deficient number, since it is larger than the sum of its proper divisors (19385523131095).

55606100600105 is a wasteful number, since it uses less digits than its factorization.

55606100600105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25182.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 55606100600105 in words is "fifty-five trillion, six hundred six billion, one hundred million, six hundred thousand, one hundred five".