106994174906808 has 192 divisors, whose sum is σ = 331370491795200. Its totient is φ = 30551489556480.

The previous prime is 106994174906807. The next prime is 106994174906813. The reversal of 106994174906808 is 808609471499601.

106994174906808 is a `hidden beast` number, since 1 + 0 + 6 + 99 + 41 + 7 + 490 + 6 + 8 + 0 + 8 = 666.

It is a super-2 number, since 2×106994174906808² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106994174906803) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7286935035 + ... + 7286949717.

It is an arithmetic number, because the mean of its divisors is an integer number (1725887978100).

Almost surely, 2^{106994174906808} is an apocalyptic number.

106994174906808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106994174906808 is an abundant number, since it is smaller than the sum of its proper divisors (224376316888392).

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

106994174906808 is a wasteful number, since it uses less digits than its factorization.

106994174906808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22362 (or 22355 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 106994174906808 in words is "one hundred six trillion, nine hundred ninety-four billion, one hundred seventy-four million, nine hundred six thousand, eight hundred eight".