105023784960 has 288 divisors, whose sum is σ = 379827040320. Its totient is φ = 26788134912.

The previous prime is 105023784949. The next prime is 105023784979. The reversal of 105023784960 is 69487320501.

105023784960 is a `hidden beast` number, since 1 + 0 + 502 + 3 + 7 + 84 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105023784960² (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 23 ways as a sum of consecutive naturals, for example, 2094907 + ... + 2144453.

It is an arithmetic number, because the mean of its divisors is an integer number (1318843890).

It is a 1-persistent number, because it is pandigital, but 2⋅105023784960 = 210047569920 is not.

Almost surely, 2^105023784960 is an apocalyptic number.

105023784960 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 105023784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189913520160).

105023784960 is an abundant number, since it is smaller than the sum of its proper divisors (274803255360).

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

105023784960 is a wasteful number, since it uses less digits than its factorization.

105023784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49603 (or 49580 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 105023784960 in words is "one hundred five billion, twenty-three million, seven hundred eighty-four thousand, nine hundred sixty".