106717074864048 has 1280 divisors, whose sum is σ = 364337823744000. Its totient is φ = 29954282941440.

The previous prime is 106717074864019. The next prime is 106717074864077. The reversal of 106717074864048 is 840468470717601.

It is a happy number.

106717074864048 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 1 + 70 + 7 + 486 + 40 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (106717074864019) and next prime (106717074864077).

It is a super-2 number, since 2×106717074864048² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37067409073 + ... + 37067411951.

It is an arithmetic number, because the mean of its divisors is an integer number (284638924800).

Almost surely, 2^{106717074864048} is an apocalyptic number.

106717074864048 is a gapful number since it is divisible by the number (18) 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 106717074864048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182168911872000).

106717074864048 is an abundant number, since it is smaller than the sum of its proper divisors (257620748879952).

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

106717074864048 is a wasteful number, since it uses less digits than its factorization.

106717074864048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 106717074864048 in words is "one hundred six trillion, seven hundred seventeen billion, seventy-four million, eight hundred sixty-four thousand, forty-eight".