105464680744896 has 2688 divisors, whose sum is σ = 385925841100800. Its totient is φ = 28416564633600.

The previous prime is 105464680744867. The next prime is 105464680744921. The reversal of 105464680744896 is 698447086464501.

105464680744896 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 6 + 468 + 0 + 74 + 4 + 8 + 96 = 666.

It is a super-2 number, since 2×105464680744896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 805073898751 + ... + 805073898881.

It is an arithmetic number, because the mean of its divisors is an integer number (143573601600).

Almost surely, 2^{105464680744896} is an apocalyptic number.

105464680744896 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 105464680744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192962920550400).

105464680744896 is an abundant number, since it is smaller than the sum of its proper divisors (280461160355904).

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

105464680744896 is a wasteful number, since it uses less digits than its factorization.

105464680744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 105464680744896 in words is "one hundred five trillion, four hundred sixty-four billion, six hundred eighty million, seven hundred forty-four thousand, eight hundred ninety-six".