106773828376320 has 1152 divisors, whose sum is σ = 440455269058560. Its totient is φ = 23987404800000.

The previous prime is 106773828376309. The next prime is 106773828376321. The reversal of 106773828376320 is 23673828377601.

It is a happy number.

106773828376320 is a `hidden beast` number, since 10 + 6 + 77 + 382 + 83 + 76 + 32 + 0 = 666.

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

It is a super-2 number, since 2×106773828376320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106773828376321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35579414820 + ... + 35579417820.

It is an arithmetic number, because the mean of its divisors is an integer number (382339643280).

Almost surely, 2^{106773828376320} is an apocalyptic number.

106773828376320 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 106773828376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220227634529280).

106773828376320 is an abundant number, since it is smaller than the sum of its proper divisors (333681440682240).

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

106773828376320 is a wasteful number, since it uses less digits than its factorization.

106773828376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 106773828376320 in words is "one hundred six trillion, seven hundred seventy-three billion, eight hundred twenty-eight million, three hundred seventy-six thousand, three hundred twenty".