106302120246 has 192 divisors, whose sum is σ = 283329446400. Its totient is φ = 28128342528.

The previous prime is 106302120217. The next prime is 106302120257. The reversal of 106302120246 is 642021203601.

106302120246 is a `hidden beast` number, since 1 + 0 + 630 + 2 + 1 + 2 + 0 + 24 + 6 = 666.

It is a super-2 number, since 2×106302120246² (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, 38951410 + ... + 38954138.

It is an arithmetic number, because the mean of its divisors is an integer number (1475674200).

Almost surely, 2^106302120246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106302120246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141664723200).

106302120246 is an abundant number, since it is smaller than the sum of its proper divisors (177027326154).

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

106302120246 is a wasteful number, since it uses less digits than its factorization.

106302120246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 106302120246 its reverse (642021203601), we get a palindrome (748323323847).

The spelling of 106302120246 in words is "one hundred six billion, three hundred two million, one hundred twenty thousand, two hundred forty-six".