106994174906880 has 240 divisors, whose sum is σ = 390053601400320. Its totient is φ = 27030107234304.

The previous prime is 106994174906873. The next prime is 106994174906887. The reversal of 106994174906880 is 88609471499601.

106994174906880 is a `hidden beast` number, since 1 + 0 + 6 + 99 + 41 + 7 + 490 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106994174906873) and next prime (106994174906887).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106994174906880² (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 junction number, because it is equal to n+sod(n) for n = 106994174906799 and 106994174906808.

It is not an unprimeable number, because it can be changed into a prime (106994174906887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121768672 + ... + 122644191.

It is an arithmetic number, because the mean of its divisors is an integer number (1625223339168).

Almost surely, 2^{106994174906880} is an apocalyptic number.

106994174906880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106994174906880 is an abundant number, since it is smaller than the sum of its proper divisors (283059426493440).

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

106994174906880 is a wasteful number, since it uses less digits than its factorization.

106994174906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244412911 (or 244412892 counting only the distinct ones).

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

The spelling of 106994174906880 in words is "one hundred six trillion, nine hundred ninety-four billion, one hundred seventy-four million, nine hundred six thousand, eight hundred eighty".