106833255480 has 960 divisors, whose sum is σ = 445137897600. Its totient is φ = 22848376320.

The previous prime is 106833255449. The next prime is 106833255481. The reversal of 106833255480 is 84552338601.

106833255480 is a `hidden beast` number, since 1 + 0 + 6 + 83 + 3 + 25 + 548 + 0 = 666.

It is a super-2 number, since 2×106833255480² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106833255481) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 322758915 + ... + 322759245.

It is an arithmetic number, because the mean of its divisors is an integer number (463685310).

Almost surely, 2^106833255480 is an apocalyptic number.

106833255480 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 106833255480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222568948800).

106833255480 is an abundant number, since it is smaller than the sum of its proper divisors (338304642120).

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

106833255480 is a wasteful number, since it uses less digits than its factorization.

106833255480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 106833255480 in words is "one hundred six billion, eight hundred thirty-three million, two hundred fifty-five thousand, four hundred eighty".