106314564096 has 960 divisors, whose sum is σ = 379888185600. Its totient is φ = 29118431232.

The previous prime is 106314564067. The next prime is 106314564101. The reversal of 106314564096 is 690465413601.

106314564096 is a `hidden beast` number, since 1 + 0 + 631 + 4 + 5 + 6 + 4 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×106314564096² (a number of 23 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, 1194545620 + ... + 1194545708.

It is an arithmetic number, because the mean of its divisors is an integer number (395716860).

Almost surely, 2^106314564096 is an apocalyptic number.

106314564096 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 106314564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189944092800).

106314564096 is an abundant number, since it is smaller than the sum of its proper divisors (273573621504).

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

106314564096 is a wasteful number, since it uses less digits than its factorization.

106314564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 106314564096 its reverse (690465413601), we get a palindrome (796779977697).

The spelling of 106314564096 in words is "one hundred six billion, three hundred fourteen million, five hundred sixty-four thousand, ninety-six".