75106322116 has 72 divisors (see below), whose sum is σ = 162005580576. Its totient is φ = 30273143040.

The previous prime is 75106322087. The next prime is 75106322117. The reversal of 75106322116 is 61122360157.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (75106322117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5093931 + ... + 5108653.

It is an arithmetic number, because the mean of its divisors is an integer number (2250077508).

Almost surely, 2^75106322116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75106322116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81002790288).

75106322116 is an abundant number, since it is smaller than the sum of its proper divisors (86899258460).

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

75106322116 is a wasteful number, since it uses less digits than its factorization.

75106322116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16289 (or 16280 counting only the distinct ones).

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

The spelling of 75106322116 in words is "seventy-five billion, one hundred six million, three hundred twenty-two thousand, one hundred sixteen".