106073538984 has 640 divisors, whose sum is σ = 366522900480. Its totient is φ = 28021593600.

The previous prime is 106073538971. The next prime is 106073539001. The reversal of 106073538984 is 489835370601.

106073538984 is a `hidden beast` number, since 10 + 6 + 0 + 7 + 3 + 538 + 98 + 4 = 666.

It is a super-2 number, since 2×106073538984² (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 self number, because there is not a number n which added to its sum of digits gives 106073538984.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 320463699 + ... + 320464029.

It is an arithmetic number, because the mean of its divisors is an integer number (572692032).

Almost surely, 2^106073538984 is an apocalyptic number.

106073538984 is a gapful number since it is divisible by the number (14) 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 106073538984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183261450240).

106073538984 is an abundant number, since it is smaller than the sum of its proper divisors (260449361496).

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

106073538984 is a wasteful number, since it uses less digits than its factorization.

106073538984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 106073538984 in words is "one hundred six billion, seventy-three million, five hundred thirty-eight thousand, nine hundred eighty-four".