106449914880 has 880 divisors, whose sum is σ = 404462963520. Its totient is φ = 26729644032.

The previous prime is 106449914861. The next prime is 106449914897. The reversal of 106449914880 is 88419944601.

It is a happy number.

106449914880 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 499 + 148 + 8 + 0 = 666.

It is a super-2 number, since 2×106449914880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 637424557 + ... + 637424723.

It is an arithmetic number, because the mean of its divisors is an integer number (459617004).

Almost surely, 2^106449914880 is an apocalyptic number.

106449914880 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 106449914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202231481760).

106449914880 is an abundant number, since it is smaller than the sum of its proper divisors (298013048640).

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

106449914880 is a wasteful number, since it uses less digits than its factorization.

106449914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 106449914880 in words is "one hundred six billion, four hundred forty-nine million, nine hundred fourteen thousand, eight hundred eighty".