7164800101 has 8 divisors (see below), whose sum is σ = 7198507800. Its totient is φ = 7131125760.

The previous prime is 7164800047. The next prime is 7164800113. The reversal of 7164800101 is 1010084617.

It can be written as a sum of positive squares in 4 ways, for example, as 1025920900 + 6138879201 = 32030^2 + 78351^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7164800101 - 2⁷ = 7164799973 is a prime.

It is a super-2 number, since 2×7164800101² (a number of 21 digits) contains 22 as substring.

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 7164800101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7164800141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491445 + ... + 505813.

It is an arithmetic number, because the mean of its divisors is an integer number (899813475).

Almost surely, 2^7164800101 is an apocalyptic number.

It is an amenable number.

7164800101 is a deficient number, since it is larger than the sum of its proper divisors (33707699).

7164800101 is a wasteful number, since it uses less digits than its factorization.

7164800101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16679.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 7164800101 is about 84645.1422173771. The cubic root of 7164800101 is about 1927.8268559935.

Adding to 7164800101 its reverse (1010084617), we get a palindrome (8174884718).

The spelling of 7164800101 in words is "seven billion, one hundred sixty-four million, eight hundred thousand, one hundred one".