75106116 has 30 divisors (see below), whose sum is σ = 196343070. Its totient is φ = 25035264.

The previous prime is 75106111. The next prime is 75106147. The reversal of 75106116 is 61160157.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 2924100 = 8496^2 + 1710^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 75106116.

It is not an unprimeable number, because it can be changed into a prime (75106111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 115581 + ... + 116228.

It is an arithmetic number, because the mean of its divisors is an integer number (6544769).

Almost surely, 2^75106116 is an apocalyptic number.

It is an amenable number.

75106116 is an abundant number, since it is smaller than the sum of its proper divisors (121236954).

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

75106116 is a wasteful number, since it uses less digits than its factorization.

75106116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231825 (or 231814 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 75106116 is about 8666.3784823881. The cubic root of 75106116 is about 421.9151315897.

The spelling of 75106116 in words is "seventy-five million, one hundred six thousand, one hundred sixteen".