106283622816 has 144 divisors (see below), whose sum is σ = 347331374208. Its totient is φ = 30198873600.

The previous prime is 106283622763. The next prime is 106283622827. The reversal of 106283622816 is 618226382601.

106283622816 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 3 + 622 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106283622816² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219261 + ... + 510531.

It is an arithmetic number, because the mean of its divisors is an integer number (2412023432).

Almost surely, 2^106283622816 is an apocalyptic number.

106283622816 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 106283622816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173665687104).

106283622816 is an abundant number, since it is smaller than the sum of its proper divisors (241047751392).

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

106283622816 is a wasteful number, since it uses less digits than its factorization.

106283622816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291475 (or 291464 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 106283622816 in words is "one hundred six billion, two hundred eighty-three million, six hundred twenty-two thousand, eight hundred sixteen".