106317238617648 has 30 divisors (see below), whose sum is σ = 297540605298404. Its totient is φ = 35439079539168.

The previous prime is 106317238617647. The next prime is 106317238617677. The reversal of 106317238617648 is 846716832713601.

106317238617648 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 1 + 7 + 2 + 3 + 8 + 617 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×106317238617648² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106317238617647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 369157078390 + ... + 369157078677.

Almost surely, 2^{106317238617648} is an apocalyptic number.

106317238617648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106317238617648 is an abundant number, since it is smaller than the sum of its proper divisors (191223366680756).

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

106317238617648 is a wasteful number, since it uses less digits than its factorization.

106317238617648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738314157081 (or 738314157072 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 106317238617648 in words is "one hundred six trillion, three hundred seventeen billion, two hundred thirty-eight million, six hundred seventeen thousand, six hundred forty-eight".