102254864 has 80 divisors (see below), whose sum is σ = 220985856. Its totient is φ = 45619200.

The previous prime is 102254863. The next prime is 102254869. The reversal of 102254864 is 468452201.

It is a self number, because there is not a number n which added to its sum of digits gives 102254864.

It is not an unprimeable number, because it can be changed into a prime (102254863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564854 + ... + 565034.

Almost surely, 2^102254864 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 102254864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110492928).

102254864 is an abundant number, since it is smaller than the sum of its proper divisors (118730992).

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

102254864 is a wasteful number, since it uses less digits than its factorization.

102254864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 102254864 is about 10112.1147145392. The cubic root of 102254864 is about 467.6217022317.

The spelling of 102254864 in words is "one hundred two million, two hundred fifty-four thousand, eight hundred sixty-four".