105144226655064 has 64 divisors (see below), whose sum is σ = 276727815696000. Its totient is φ = 33199542109440.

The previous prime is 105144226655063. The next prime is 105144226655131. The reversal of 105144226655064 is 460556622441501.

105144226655064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105144226655064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105144226654998 and 105144226655016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105144226655063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9644494 + ... + 17415645.

It is an arithmetic number, because the mean of its divisors is an integer number (4323872120250).

Almost surely, 2^{105144226655064} is an apocalyptic number.

It is an amenable number.

105144226655064 is an abundant number, since it is smaller than the sum of its proper divisors (171583589040936).

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

105144226655064 is a wasteful number, since it uses less digits than its factorization.

105144226655064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27068688 (or 27068684 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 105144226655064 in words is "one hundred five trillion, one hundred forty-four billion, two hundred twenty-six million, six hundred fifty-five thousand, sixty-four".