102456636506500 has 48 divisors (see below), whose sum is σ = 224114382653616. Its totient is φ = 40918718976000.

The previous prime is 102456636506479. The next prime is 102456636506503. The reversal of 102456636506500 is 5605636654201.

It can be written as a sum of positive squares in 8 ways, for example, as 156803328256 + 102299833178244 = 395984^2 + 10114338^2 .

It is not an unprimeable number, because it can be changed into a prime (102456636506503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159518247 + ... + 160159246.

It is an arithmetic number, because the mean of its divisors is an integer number (4669049638617).

Almost surely, 2^{102456636506500} is an apocalyptic number.

102456636506500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102456636506500 is an abundant number, since it is smaller than the sum of its proper divisors (121657746147116).

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

102456636506500 is a wasteful number, since it uses less digits than its factorization.

102456636506500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319678153 (or 319678141 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 49.

The spelling of 102456636506500 in words is "one hundred two trillion, four hundred fifty-six billion, six hundred thirty-six million, five hundred six thousand, five hundred".