105655224102912 has 1560 divisors, whose sum is σ = 361014052967568. Its totient is φ = 30740187709440.

The previous prime is 105655224102899. The next prime is 105655224102913. The reversal of 105655224102912 is 219201422556501.

105655224102912 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 5 + 522 + 4 + 102 + 9 + 12 = 666.

It is a super-2 number, since 2×105655224102912² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105655224102913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 123284975188 + ... + 123284976044.

Almost surely, 2^{105655224102912} is an apocalyptic number.

105655224102912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105655224102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180507026483784).

105655224102912 is an abundant number, since it is smaller than the sum of its proper divisors (255358828864656).

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

105655224102912 is an equidigital number, since it uses as much as digits as its factorization.

105655224102912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 105655224102912 in words is "one hundred five trillion, six hundred fifty-five billion, two hundred twenty-four million, one hundred two thousand, nine hundred twelve".