102561888 has 192 divisors, whose sum is σ = 327849984. Its totient is φ = 27648000.

The previous prime is 102561887. The next prime is 102561889. The reversal of 102561888 is 888165201.

It is an interprime number because it is at equal distance from previous prime (102561887) and next prime (102561889).

It is a super-3 number, since 3×102561888³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102561887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425448 + ... + 425688.

It is an arithmetic number, because the mean of its divisors is an integer number (1707552).

Almost surely, 2^102561888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102561888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163924992).

102561888 is an abundant number, since it is smaller than the sum of its proper divisors (225288096).

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

102561888 is a wasteful number, since it uses less digits than its factorization.

102561888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 102561888 is about 10127.2843349044. The cubic root of 102561888 is about 468.0892517338.

The spelling of 102561888 in words is "one hundred two million, five hundred sixty-one thousand, eight hundred eighty-eight".