106710116179968 has 1008 divisors, whose sum is σ = 368078199949824. Its totient is φ = 30300810117120.

The previous prime is 106710116179943. The next prime is 106710116179993. The reversal of 106710116179968 is 869971611017601.

106710116179968 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 1 + 0 + 1 + 1 + 617 + 9 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106710116179943) and next prime (106710116179993).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106710116179968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68098350321 + ... + 68098351887.

Almost surely, 2^{106710116179968} is an apocalyptic number.

106710116179968 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 106710116179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184039099974912).

106710116179968 is an abundant number, since it is smaller than the sum of its proper divisors (261368083769856).

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

106710116179968 is an frugal number, since it uses more digits than its factorization.

106710116179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 63.

The spelling of 106710116179968 in words is "one hundred six trillion, seven hundred ten billion, one hundred sixteen million, one hundred seventy-nine thousand, nine hundred sixty-eight".