106677114048000 has 800 divisors, whose sum is σ = 399901115547648. Its totient is φ = 28265822208000.

The previous prime is 106677114047981. The next prime is 106677114048077. The reversal of 106677114048000 is 840411776601.

106677114048000 is a `hidden beast` number, since 1 + 0 + 6 + 67 + 71 + 1 + 40 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×106677114048000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 813822465 + ... + 813953535.

Almost surely, 2^{106677114048000} is an apocalyptic number.

106677114048000 is a gapful number since it is divisible by the number (10) 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 106677114048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199950557773824).

106677114048000 is an abundant number, since it is smaller than the sum of its proper divisors (293224001499648).

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

106677114048000 is an equidigital number, since it uses as much as digits as its factorization.

106677114048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131273 (or 131238 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 106677114048000 in words is "one hundred six trillion, six hundred seventy-seven billion, one hundred fourteen million, forty-eight thousand".