106428194880 has 448 divisors, whose sum is σ = 390905561088. Its totient is φ = 24031272960.

The previous prime is 106428194869. The next prime is 106428194881. The reversal of 106428194880 is 88491824601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106428194880² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106428194881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363236014 + ... + 363236306.

It is an arithmetic number, because the mean of its divisors is an integer number (872557056).

Almost surely, 2^106428194880 is an apocalyptic number.

106428194880 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 106428194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195452780544).

106428194880 is an abundant number, since it is smaller than the sum of its proper divisors (284477366208).

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

106428194880 is a wasteful number, since it uses less digits than its factorization.

106428194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 106428194880 in words is "one hundred six billion, four hundred twenty-eight million, one hundred ninety-four thousand, eight hundred eighty".