106013312880 has 80 divisors (see below), whose sum is σ = 328748958720. Its totient is φ = 28260953344.

The previous prime is 106013312831. The next prime is 106013312917. The reversal of 106013312880 is 88213310601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106013312880² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 677749 + ... + 819371.

It is an arithmetic number, because the mean of its divisors is an integer number (4109361984).

Almost surely, 2^106013312880 is an apocalyptic number.

106013312880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106013312880 is an abundant number, since it is smaller than the sum of its proper divisors (222735645840).

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

106013312880 is a wasteful number, since it uses less digits than its factorization.

106013312880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144758 (or 144752 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 106013312880 in words is "one hundred six billion, thirteen million, three hundred twelve thousand, eight hundred eighty".