75314106 has 48 divisors (see below), whose sum is σ = 187896384. Its totient is φ = 21356352.

The previous prime is 75314101. The next prime is 75314111. The reversal of 75314106 is 60141357.

It is an interprime number because it is at equal distance from previous prime (75314101) and next prime (75314111).

It is a self number, because there is not a number n which added to its sum of digits gives 75314106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75314101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15081 + ... + 19443.

It is an arithmetic number, because the mean of its divisors is an integer number (3914508).

Almost surely, 2^75314106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75314106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93948192).

75314106 is an abundant number, since it is smaller than the sum of its proper divisors (112582278).

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

75314106 is a wasteful number, since it uses less digits than its factorization.

75314106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 75314106 is about 8678.3700082446. The cubic root of 75314106 is about 422.3042399250.

The spelling of 75314106 in words is "seventy-five million, three hundred fourteen thousand, one hundred six".