105036221822976 has 1152 divisors, whose sum is σ = 331667548692480. Its totient is φ = 33167713075200.

The previous prime is 105036221822963. The next prime is 105036221823031. The reversal of 105036221822976 is 679228122630501.

105036221822976 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 3 + 622 + 1 + 8 + 2 + 2 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×105036221822976² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317329975131 + ... + 317329975461.

It is an arithmetic number, because the mean of its divisors is an integer number (287905858240).

Almost surely, 2^{105036221822976} is an apocalyptic number.

105036221822976 is a gapful number since it is divisible by the number (16) 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 105036221822976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165833774346240).

105036221822976 is an abundant number, since it is smaller than the sum of its proper divisors (226631326869504).

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

105036221822976 is an equidigital number, since it uses as much as digits as its factorization.

105036221822976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 105036221822976 in words is "one hundred five trillion, thirty-six billion, two hundred twenty-one million, eight hundred twenty-two thousand, nine hundred seventy-six".