102015648 has 108 divisors (see below), whose sum is σ = 337518090. Its totient is φ = 29143296.

The previous prime is 102015647. The next prime is 102015659. The reversal of 102015648 is 846510201.

102015648 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 15 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53406864 + 48608784 = 7308^2 + 6972^2 .

It is a super-3 number, since 3×102015648³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102015647) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10498 + ... + 17726.

Almost surely, 2^102015648 is an apocalyptic number.

102015648 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 102015648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168759045).

102015648 is an abundant number, since it is smaller than the sum of its proper divisors (235502442).

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

102015648 is a wasteful number, since it uses less digits than its factorization.

102015648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 102015648 is about 10100.2796000903. The cubic root of 102015648 is about 467.2567646203.

Adding to 102015648 its reverse (846510201), we get a palindrome (948525849).

The spelling of 102015648 in words is "one hundred two million, fifteen thousand, six hundred forty-eight".