102542323601652 has 192 divisors, whose sum is σ = 280391170848768. Its totient is φ = 28850399424000.

The previous prime is 102542323601623. The next prime is 102542323601657. The reversal of 102542323601652 is 256106323245201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102542323601657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46207627 + ... + 48375917.

It is an arithmetic number, because the mean of its divisors is an integer number (1460370681504).

Almost surely, 2^{102542323601652} is an apocalyptic number.

102542323601652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102542323601652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140195585424384).

102542323601652 is an abundant number, since it is smaller than the sum of its proper divisors (177848847247116).

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

102542323601652 is a wasteful number, since it uses less digits than its factorization.

102542323601652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168790 (or 2168788 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 102542323601652 its reverse (256106323245201), we get a palindrome (358648646846853).

The spelling of 102542323601652 in words is "one hundred two trillion, five hundred forty-two billion, three hundred twenty-three million, six hundred one thousand, six hundred fifty-two".