106528382090496 has 864 divisors, whose sum is σ = 334667652359040. Its totient is φ = 32465092608000.

The previous prime is 106528382090461. The next prime is 106528382090521. The reversal of 106528382090496 is 694090283825601.

106528382090496 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 2 + 8 + 38 + 20 + 90 + 496 = 666.

It is a super-2 number, since 2×106528382090496² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88699734696 + ... + 88699735896.

It is an arithmetic number, because the mean of its divisors is an integer number (387346819860).

Almost surely, 2^{106528382090496} is an apocalyptic number.

106528382090496 is a gapful number since it is divisible by the number (16) 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 106528382090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333826179520).

106528382090496 is an abundant number, since it is smaller than the sum of its proper divisors (228139270268544).

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

106528382090496 is a wasteful number, since it uses less digits than its factorization.

106528382090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 106528382090496 in words is "one hundred six trillion, five hundred twenty-eight billion, three hundred eighty-two million, ninety thousand, four hundred ninety-six".