102861648 has 60 divisors (see below), whose sum is σ = 289603860. Its totient is φ = 34080768.

The previous prime is 102861643. The next prime is 102861701. The reversal of 102861648 is 846168201.

102861648 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 6 + 1 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77580864 + 25280784 = 8808^2 + 5028^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102861641) 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, 22848 + ... + 26976.

It is an arithmetic number, because the mean of its divisors is an integer number (4826731).

Almost surely, 2^102861648 is an apocalyptic number.

102861648 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 102861648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144801930).

102861648 is an abundant number, since it is smaller than the sum of its proper divisors (186742212).

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

102861648 is a wasteful number, since it uses less digits than its factorization.

102861648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102861648 is about 10142.0731608483. The cubic root of 102861648 is about 468.5448399264.

The spelling of 102861648 in words is "one hundred two million, eight hundred sixty-one thousand, six hundred forty-eight".