105329163456 has 224 divisors, whose sum is σ = 338085135360. Its totient is φ = 31890816000.

The previous prime is 105329163409. The next prime is 105329163461. The reversal of 105329163456 is 654361923501.

105329163456 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 9 + 1 + 634 + 5 + 6 = 666.

It is a super-2 number, since 2×105329163456² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44686630 + ... + 44688986.

It is an arithmetic number, because the mean of its divisors is an integer number (1509308640).

Almost surely, 2^105329163456 is an apocalyptic number.

105329163456 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 105329163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169042567680).

105329163456 is an abundant number, since it is smaller than the sum of its proper divisors (232755971904).

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

105329163456 is a wasteful number, since it uses less digits than its factorization.

105329163456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 105329163456 in words is "one hundred five billion, three hundred twenty-nine million, one hundred sixty-three thousand, four hundred fifty-six".