102552564114 has 288 divisors, whose sum is σ = 308107373184. Its totient is φ = 23921464320.

The previous prime is 102552564083. The next prime is 102552564119. The reversal of 102552564114 is 411465255201.

102552564114 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 2 + 5 + 641 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (102552564119) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8660742 + ... + 8672574.

It is an arithmetic number, because the mean of its divisors is an integer number (1069817268).

Almost surely, 2^102552564114 is an apocalyptic number.

102552564114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102552564114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154053686592).

102552564114 is an abundant number, since it is smaller than the sum of its proper divisors (205554809070).

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

102552564114 is a wasteful number, since it uses less digits than its factorization.

102552564114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11922 (or 11906 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

It can be divided in two parts, 102552 and 564114, that added together give a palindrome (666666).

The spelling of 102552564114 in words is "one hundred two billion, five hundred fifty-two million, five hundred sixty-four thousand, one hundred fourteen".