102404591189955 has 128 divisors (see below), whose sum is σ = 183550828032000. Its totient is φ = 54168576698880.

The previous prime is 102404591189921. The next prime is 102404591189959. The reversal of 102404591189955 is 559981195404201.

102404591189955 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 459 + 11 + 89 + 95 + 5 = 666.

It is not a de Polignac number, because 102404591189955 - 2⁷ = 102404591189827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102404591189892 and 102404591189901.

It is not an unprimeable number, because it can be changed into a prime (102404591189959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9199939740 + ... + 9199950870.

It is an arithmetic number, because the mean of its divisors is an integer number (1433990844000).

Almost surely, 2^{102404591189955} is an apocalyptic number.

102404591189955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102404591189955 is a deficient number, since it is larger than the sum of its proper divisors (81146236842045).

102404591189955 is a wasteful number, since it uses less digits than its factorization.

102404591189955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12506 (or 12500 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 63.

The spelling of 102404591189955 in words is "one hundred two trillion, four hundred four billion, five hundred ninety-one million, one hundred eighty-nine thousand, nine hundred fifty-five".