107006561620 has 144 divisors (see below), whose sum is σ = 265813289280. Its totient is φ = 36070949376.

The previous prime is 107006561611. The next prime is 107006561647. The reversal of 107006561620 is 26165600701.

It is a happy number.

It is a super-3 number, since 3×107006561620³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43268704 + ... + 43271176.

It is an arithmetic number, because the mean of its divisors is an integer number (1845925620).

Almost surely, 2^107006561620 is an apocalyptic number.

107006561620 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 107006561620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132906644640).

107006561620 is an abundant number, since it is smaller than the sum of its proper divisors (158806727660).

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

107006561620 is a wasteful number, since it uses less digits than its factorization.

107006561620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 107006561620 in words is "one hundred seven billion, six million, five hundred sixty-one thousand, six hundred twenty".