99907561372129 has 9 divisors (see below), whose sum is σ = 116219081354481. Its totient is φ = 85634992632420.

The previous prime is 99907561372111. The next prime is 99907561372153. The reversal of 99907561372129 is 92127316570999.

The square root of 99907561372129 is 9995377.

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

It is not a de Polignac number, because 99907561372129 - 2¹⁹ = 99907560847841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99907561372169) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69253684 + ... + 70681594.

It is an arithmetic number, because the mean of its divisors is an integer number (12913231261609).

Almost surely, 2^{99907561372129} is an apocalyptic number.

99907561372129 is the 9995377-th square number.

99907561372129 is the 4997689-th centered octagonal number.

It is an amenable number.

99907561372129 is a deficient number, since it is larger than the sum of its proper divisors (16311519982352).

99907561372129 is an frugal number, since it uses more digits than its factorization.

99907561372129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855836 (or 1427918 counting only the distinct ones).

The product of its (nonzero) digits is 115736040, while the sum is 70.

The spelling of 99907561372129 in words is "ninety-nine trillion, nine hundred seven billion, five hundred sixty-one million, three hundred seventy-two thousand, one hundred twenty-nine".