102005250552 has 48 divisors (see below), whose sum is σ = 292515060240. Its totient is φ = 32001646848.

The previous prime is 102005250551. The next prime is 102005250563. The reversal of 102005250552 is 255052500201.

102005250552 is a `hidden beast` number, since 10 + 2 + 0 + 0 + 52 + 50 + 552 = 666.

It is a super-2 number, since 2×102005250552² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102005250551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41667588 + ... + 41670035.

It is an arithmetic number, because the mean of its divisors is an integer number (6094063755).

Almost surely, 2^102005250552 is an apocalyptic number.

102005250552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102005250552 is an abundant number, since it is smaller than the sum of its proper divisors (190509809688).

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

102005250552 is a wasteful number, since it uses less digits than its factorization.

102005250552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83337652 (or 83337645 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

Adding to 102005250552 its reverse (255052500201), we get a palindrome (357057750753).

The spelling of 102005250552 in words is "one hundred two billion, five million, two hundred fifty thousand, five hundred fifty-two".