75355740100 has 81 divisors (see below), whose sum is σ = 165811026087. Its totient is φ = 29726138880.

The previous prime is 75355740079. The next prime is 75355740107. The reversal of 75355740100 is 104755357.

The square root of 75355740100 is 274510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2770759044 + 72584981056 = 52638^2 + 269416^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75355740100.

It is not an unprimeable number, because it can be changed into a prime (75355740107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 266274559 + ... + 266274841.

Almost surely, 2^75355740100 is an apocalyptic number.

75355740100 is the 274510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75355740100

75355740100 is an abundant number, since it is smaller than the sum of its proper divisors (90455285987).

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

75355740100 is an equidigital number, since it uses as much as digits as its factorization.

75355740100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 37.

The spelling of 75355740100 in words is "seventy-five billion, three hundred fifty-five million, seven hundred forty thousand, one hundred".