99629743360900 has 27 divisors (see below), whose sum is σ = 216196759691269. Its totient is φ = 39851857418480.

The previous prime is 99629743360897. The next prime is 99629743360937. The reversal of 99629743360900 is 906334792699.

The square root of 99629743360900 is 9981470.

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., 35866707609924 + 63763035750976 = 5988882^2 + 7985176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99315627 + ... + 100313773.

Almost surely, 2^{99629743360900} is an apocalyptic number.

99629743360900 is the 9981470-th square number.

It is an amenable number.

99629743360900 is an abundant number, since it is smaller than the sum of its proper divisors (116567016330369).

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

99629743360900 is an frugal number, since it uses more digits than its factorization.

99629743360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996308 (or 998154 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 67.

The spelling of 99629743360900 in words is "ninety-nine trillion, six hundred twenty-nine billion, seven hundred forty-three million, three hundred sixty thousand, nine hundred".