106215505494846 has 192 divisors, whose sum is σ = 240202626571008. Its totient is φ = 31051762560000.

The previous prime is 106215505494827. The next prime is 106215505494859. The reversal of 106215505494846 is 648494505512601.

It is a super-4 number, since 4×106215505494846⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106215505494846.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37920564646 + ... + 37920567446.

It is an arithmetic number, because the mean of its divisors is an integer number (1251055346724).

Almost surely, 2^{106215505494846} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106215505494846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120101313285504).

106215505494846 is an abundant number, since it is smaller than the sum of its proper divisors (133987121076162).

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

106215505494846 is a wasteful number, since it uses less digits than its factorization.

106215505494846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 106215505494846 in words is "one hundred six trillion, two hundred fifteen billion, five hundred five million, four hundred ninety-four thousand, eight hundred forty-six".