102555648 has 168 divisors, whose sum is σ = 322024248. Its totient is φ = 31260672.

The previous prime is 102555647. The next prime is 102555653. The reversal of 102555648 is 846555201.

102555648 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (102555647) 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, 958411 + ... + 958517.

It is an arithmetic number, because the mean of its divisors is an integer number (1916811).

Almost surely, 2^102555648 is an apocalyptic number.

102555648 is a gapful number since it is divisible by the number (18) 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 102555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161012124).

102555648 is an abundant number, since it is smaller than the sum of its proper divisors (219468600).

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

102555648 is a wasteful number, since it uses less digits than its factorization.

102555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

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

The square root of 102555648 is about 10126.9762515768. The cubic root of 102555648 is about 468.0797584862.

The spelling of 102555648 in words is "one hundred two million, five hundred fifty-five thousand, six hundred forty-eight".