105812904960 has 1320 divisors, whose sum is σ = 455395336704. Its totient is φ = 23410114560.

The previous prime is 105812904949. The next prime is 105812904961. The reversal of 105812904960 is 69409218501.

105812904960 is a `hidden beast` number, since 1 + 0 + 581 + 2 + 9 + 0 + 4 + 9 + 60 = 666.

It is a super-2 number, since 2×105812904960² (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 not an unprimeable number, because it can be changed into a prime (105812904961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 833172417 + ... + 833172543.

Almost surely, 2^105812904960 is an apocalyptic number.

105812904960 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 105812904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227697668352).

105812904960 is an abundant number, since it is smaller than the sum of its proper divisors (349582431744).

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

105812904960 is a wasteful number, since it uses less digits than its factorization.

105812904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 105812904960 in words is "one hundred five billion, eight hundred twelve million, nine hundred four thousand, nine hundred sixty".