102185542067520 has 56 divisors (see below), whose sum is σ = 324439096067424. Its totient is φ = 27249477884416.

The previous prime is 102185542067513. The next prime is 102185542067527. The reversal of 102185542067520 is 25760245581201.

It is an interprime number because it is at equal distance from previous prime (102185542067513) and next prime (102185542067527).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102185542067520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102185542067527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53221635534 + ... + 53221637453.

Almost surely, 2^{102185542067520} is an apocalyptic number.

102185542067520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102185542067520 is an abundant number, since it is smaller than the sum of its proper divisors (222253553999904).

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

102185542067520 is a wasteful number, since it uses less digits than its factorization.

102185542067520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106443273007 (or 106443272997 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 102185542067520 in words is "one hundred two trillion, one hundred eighty-five billion, five hundred forty-two million, sixty-seven thousand, five hundred twenty".