102180388248 has 128 divisors (see below), whose sum is σ = 296352000000. Its totient is φ = 32559791616.

The previous prime is 102180388243. The next prime is 102180388253. The reversal of 102180388248 is 842883081201.

It is a happy number.

102180388248 is a `hidden beast` number, since 1 + 0 + 21 + 8 + 0 + 388 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (102180388243) and next prime (102180388253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102180388243) 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, 9925888 + ... + 9936176.

It is an arithmetic number, because the mean of its divisors is an integer number (2315250000).

Almost surely, 2^102180388248 is an apocalyptic number.

102180388248 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 102180388248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176000000).

102180388248 is an abundant number, since it is smaller than the sum of its proper divisors (194171611752).

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

102180388248 is a wasteful number, since it uses less digits than its factorization.

102180388248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12326 (or 12316 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 102180388248 in words is "one hundred two billion, one hundred eighty million, three hundred eighty-eight thousand, two hundred forty-eight".