102393619183953 has 24 divisors (see below), whose sum is σ = 155770496481600. Its totient is φ = 64634640673824.

The previous prime is 102393619183927. The next prime is 102393619183967. The reversal of 102393619183953 is 359381916393201.

102393619183953 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 9 + 3 + 619 + 1 + 8 + 3 + 9 + 5 + 3 = 666.

It is not a de Polignac number, because 102393619183953 - 2³⁷ = 102256180230481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102393619183903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 161782998 + ... + 162414671.

It is an arithmetic number, because the mean of its divisors is an integer number (6490437353400).

Almost surely, 2^{102393619183953} is an apocalyptic number.

It is an amenable number.

102393619183953 is a deficient number, since it is larger than the sum of its proper divisors (53376877297647).

102393619183953 is a wasteful number, since it uses less digits than its factorization.

102393619183953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324199541 (or 324199538 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 102393619183953 in words is "one hundred two trillion, three hundred ninety-three billion, six hundred nineteen million, one hundred eighty-three thousand, nine hundred fifty-three".