105504022770048 has 192 divisors, whose sum is σ = 346982285195520. Its totient is φ = 30142945704960.

The previous prime is 105504022769993. The next prime is 105504022770059. The reversal of 105504022770048 is 840077220405501.

105504022770048 is a `hidden beast` number, since 1 + 0 + 550 + 4 + 0 + 2 + 27 + 70 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105504022770048² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105504022769985 and 105504022770012.

It is a congruent number.

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, 245148333 + ... + 245578323.

It is an arithmetic number, because the mean of its divisors is an integer number (1807199402060).

Almost surely, 2^{105504022770048} is an apocalyptic number.

105504022770048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105504022770048 is an abundant number, since it is smaller than the sum of its proper divisors (241478262425472).

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

105504022770048 is a wasteful number, since it uses less digits than its factorization.

105504022770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460445 (or 460430 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 105504022770048 in words is "one hundred five trillion, five hundred four billion, twenty-two million, seven hundred seventy thousand, forty-eight".