106965780480 has 1152 divisors, whose sum is σ = 435010867200. Its totient is φ = 24078974976.

The previous prime is 106965780479. The next prime is 106965780487. The reversal of 106965780480 is 84087569601.

106965780480 is a `hidden beast` number, since 1 + 0 + 6 + 96 + 5 + 78 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×106965780480² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106965780487) 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 95 ways as a sum of consecutive naturals, for example, 842250177 + ... + 842250303.

It is an arithmetic number, because the mean of its divisors is an integer number (377613600).

Almost surely, 2^106965780480 is an apocalyptic number.

106965780480 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 106965780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217505433600).

106965780480 is an abundant number, since it is smaller than the sum of its proper divisors (328045086720).

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

106965780480 is a wasteful number, since it uses less digits than its factorization.

106965780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 106965780480 in words is "one hundred six billion, nine hundred sixty-five million, seven hundred eighty thousand, four hundred eighty".