79124064100 has 81 divisors (see below), whose sum is σ = 179635856953. Its totient is φ = 30248801440.

The previous prime is 79124063969. The next prime is 79124064101. The reversal of 79124064100 is 146042197.

The square root of 79124064100 is 281290.

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

It can be written as a sum of positive squares in only one way, i.e., 28484663076 + 50639401024 = 168774^2 + 225032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79124064101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64696089 + ... + 64697311.

Almost surely, 2^79124064100 is an apocalyptic number.

79124064100 is the 281290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79124064100

79124064100 is an abundant number, since it is smaller than the sum of its proper divisors (100511792853).

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

79124064100 is a wasteful number, since it uses less digits than its factorization.

79124064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 79124064100 in words is "seventy-nine billion, one hundred twenty-four million, sixty-four thousand, one hundred".