106741514880 has 2560 divisors, whose sum is σ = 546397125120. Its totient is φ = 19269550080.

The previous prime is 106741514849. The next prime is 106741514923. The reversal of 106741514880 is 88415147601.

106741514880 is a `hidden beast` number, since 10 + 6 + 7 + 4 + 151 + 488 + 0 = 666.

106741514880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106741514880² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6278912632 + ... + 6278912648.

It is an arithmetic number, because the mean of its divisors is an integer number (213436377).

Almost surely, 2^106741514880 is an apocalyptic number.

106741514880 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 106741514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273198562560).

106741514880 is an abundant number, since it is smaller than the sum of its proper divisors (439655610240).

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

106741514880 is a wasteful number, since it uses less digits than its factorization.

106741514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 106741514880 in words is "one hundred six billion, seven hundred forty-one million, five hundred fourteen thousand, eight hundred eighty".