105996833280 has 1120 divisors, whose sum is σ = 436181551344. Its totient is φ = 24461180928.

The previous prime is 105996833279. The next prime is 105996833291. The reversal of 105996833280 is 82338699501.

105996833280 is a `hidden beast` number, since 10 + 599 + 6 + 8 + 3 + 32 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 74778183936 + 31218649344 = 273456^2 + 176688^2 .

It is a super-2 number, since 2×105996833280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 412438912 + ... + 412439168.

Almost surely, 2^105996833280 is an apocalyptic number.

105996833280 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 105996833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218090775672).

105996833280 is an abundant number, since it is smaller than the sum of its proper divisors (330184718064).

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

105996833280 is an equidigital number, since it uses as much as digits as its factorization.

105996833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 105996833280 in words is "one hundred five billion, nine hundred ninety-six million, eight hundred thirty-three thousand, two hundred eighty".