102136319964 has 36 divisors (see below), whose sum is σ = 295060480624. Its totient is φ = 29181805632.

The previous prime is 102136319947. The next prime is 102136320019. The reversal of 102136319964 is 469913631201.

102136319964 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 631 + 9 + 9 + 6 + 4 = 666.

102136319964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×102136319964² (a number of 23 digits) contains 22 as substring.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 202651177 + ... + 202651680.

Almost surely, 2^102136319964 is an apocalyptic number.

102136319964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102136319964 is an abundant number, since it is smaller than the sum of its proper divisors (192924160660).

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

102136319964 is a wasteful number, since it uses less digits than its factorization.

102136319964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405302874 (or 405302869 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 102136319964 in words is "one hundred two billion, one hundred thirty-six million, three hundred nineteen thousand, nine hundred sixty-four".