106078649114880 has 864 divisors, whose sum is σ = 417194055882240. Its totient is φ = 24669722050560.

The previous prime is 106078649114863. The next prime is 106078649114927. The reversal of 106078649114880 is 88411946870601.

106078649114880 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 7 + 8 + 64 + 91 + 1 + 488 + 0 = 666.

It is a super-2 number, since 2×106078649114880² (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 95 ways as a sum of consecutive naturals, for example, 1044225690 + ... + 1044327270.

Almost surely, 2^{106078649114880} is an apocalyptic number.

106078649114880 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 106078649114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208597027941120).

106078649114880 is an abundant number, since it is smaller than the sum of its proper divisors (311115406767360).

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

106078649114880 is a wasteful number, since it uses less digits than its factorization.

106078649114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102007 (or 101990 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 106078649114880 in words is "one hundred six trillion, seventy-eight billion, six hundred forty-nine million, one hundred fourteen thousand, eight hundred eighty".