105885321099264 has 384 divisors, whose sum is σ = 360665323200000. Its totient is φ = 30067330056192.

The previous prime is 105885321099209. The next prime is 105885321099277. The reversal of 105885321099264 is 462990123588501.

105885321099264 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 8 + 532 + 1 + 0 + 9 + 92 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105885321099264² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62253612 + ... + 63931860.

It is an arithmetic number, because the mean of its divisors is an integer number (939232612500).

Almost surely, 2^{105885321099264} is an apocalyptic number.

105885321099264 is a gapful number since it is divisible by the number (14) 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 105885321099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180332661600000).

105885321099264 is an abundant number, since it is smaller than the sum of its proper divisors (254780002100736).

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

105885321099264 is a wasteful number, since it uses less digits than its factorization.

105885321099264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678450 (or 1678424 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 105885321099264 in words is "one hundred five trillion, eight hundred eighty-five billion, three hundred twenty-one million, ninety-nine thousand, two hundred sixty-four".