75980106 has 80 divisors (see below), whose sum is σ = 184415616. Its totient is φ = 23289984.

The previous prime is 75980081. The next prime is 75980117. The reversal of 75980106 is 60108957.

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 39 ways as a sum of consecutive naturals, for example, 129145 + ... + 129731.

Almost surely, 2^75980106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75980106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

75980106 is an abundant number, since it is smaller than the sum of its proper divisors (108435510).

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

75980106 is a wasteful number, since it uses less digits than its factorization.

75980106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 75980106 is about 8716.6568132513. The cubic root of 75980106 is about 423.5453957816.

The spelling of 75980106 in words is "seventy-five million, nine hundred eighty thousand, one hundred six".