106505034816 has 224 divisors, whose sum is σ = 308396688768. Its totient is φ = 32305315840.

The previous prime is 106505034751. The next prime is 106505034841. The reversal of 106505034816 is 618430505601.

It is a super-2 number, since 2×106505034816² (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 31 ways as a sum of consecutive naturals, for example, 15118591 + ... + 15125633.

It is an arithmetic number, because the mean of its divisors is an integer number (1376770932).

Almost surely, 2^106505034816 is an apocalyptic number.

106505034816 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 106505034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154198344384).

106505034816 is an abundant number, since it is smaller than the sum of its proper divisors (201891653952).

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

106505034816 is a wasteful number, since it uses less digits than its factorization.

106505034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7219 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 106505034816 in words is "one hundred six billion, five hundred five million, thirty-four thousand, eight hundred sixteen".