101932055824 has 15 divisors (see below), whose sum is σ = 197495832517. Its totient is φ = 50965389376.

The previous prime is 101932055809. The next prime is 101932055837. The reversal of 101932055824 is 428550239101.

It is a happy number.

The square root of 101932055824 is 319268.

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

101932055824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5106531600 + 96825524224 = 71460^2 + 311168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1237164 + ... + 1316980.

Almost surely, 2^101932055824 is an apocalyptic number.

101932055824 is the 319268-th square number.

It is an amenable number.

101932055824 is a deficient number, since it is larger than the sum of its proper divisors (95563776693).

101932055824 is an frugal number, since it uses more digits than its factorization.

101932055824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159642 (or 79819 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 101932055824 in words is "one hundred one billion, nine hundred thirty-two million, fifty-five thousand, eight hundred twenty-four".