105289994880 has 896 divisors, whose sum is σ = 436882417920. Its totient is φ = 23756488704.

The previous prime is 105289994867. The next prime is 105289994917. The reversal of 105289994880 is 88499982501.

105289994880 is a `hidden beast` number, since 10 + 52 + 8 + 9 + 99 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×105289994880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 336389604 + ... + 336389916.

Almost surely, 2^105289994880 is an apocalyptic number.

105289994880 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 105289994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218441208960).

105289994880 is an abundant number, since it is smaller than the sum of its proper divisors (331592423040).

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

105289994880 is an equidigital number, since it uses as much as digits as its factorization.

105289994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 105289994880 in words is "one hundred five billion, two hundred eighty-nine million, nine hundred ninety-four thousand, eight hundred eighty".