105369824160 has 192 divisors, whose sum is σ = 372059775360. Its totient is φ = 27849830400.

The previous prime is 105369824149. The next prime is 105369824213. The reversal of 105369824160 is 61428963501.

105369824160 is a `hidden beast` number, since 1 + 0 + 536 + 98 + 24 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×105369824160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 380235 + ... + 596085.

It is an arithmetic number, because the mean of its divisors is an integer number (1937811330).

Almost surely, 2^105369824160 is an apocalyptic number.

105369824160 is a gapful number since it is divisible by the number (10) 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 105369824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186029887680).

105369824160 is an abundant number, since it is smaller than the sum of its proper divisors (266689951200).

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

105369824160 is a wasteful number, since it uses less digits than its factorization.

105369824160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215988 (or 215974 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 105369824160 in words is "one hundred five billion, three hundred sixty-nine million, eight hundred twenty-four thousand, one hundred sixty".