106832753280 has 768 divisors, whose sum is σ = 420790930560. Its totient is φ = 25686097920.

The previous prime is 106832753267. The next prime is 106832753281. The reversal of 106832753280 is 82357238601.

106832753280 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 32 + 7 + 532 + 80 = 666.

It is a super-2 number, since 2×106832753280² (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 (106832753281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337011682 + ... + 337011998.

Almost surely, 2^106832753280 is an apocalyptic number.

106832753280 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 106832753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210395465280).

106832753280 is an abundant number, since it is smaller than the sum of its proper divisors (313958177280).

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

106832753280 is a wasteful number, since it uses less digits than its factorization.

106832753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106832753280 in words is "one hundred six billion, eight hundred thirty-two million, seven hundred fifty-three thousand, two hundred eighty".