105350899784832 has 256 divisors, whose sum is σ = 335905633123200. Its totient is φ = 32313399496704.

The previous prime is 105350899784831. The next prime is 105350899784849. The reversal of 105350899784832 is 238487998053501.

105350899784832 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 50 + 8 + 9 + 97 + 8 + 483 + 2 = 666.

It is a super-2 number, since 2×105350899784832² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (105350899784831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10543623 + ... + 17940729.

Almost surely, 2^{105350899784832} is an apocalyptic number.

105350899784832 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 105350899784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167952816561600).

105350899784832 is an abundant number, since it is smaller than the sum of its proper divisors (230554733338368).

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

105350899784832 is a wasteful number, since it uses less digits than its factorization.

105350899784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397460 (or 7397442 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 105350899784832 in words is "one hundred five trillion, three hundred fifty billion, eight hundred ninety-nine million, seven hundred eighty-four thousand, eight hundred thirty-two".