102382100105232 has 160 divisors (see below), whose sum is σ = 276397509427200. Its totient is φ = 32616191609344.

The previous prime is 102382100105147. The next prime is 102382100105281. The reversal of 102382100105232 is 232501001283201.

It is a self number, because there is not a number n which added to its sum of digits gives 102382100105232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54637513 + ... + 56480279.

It is an arithmetic number, because the mean of its divisors is an integer number (1727484433920).

Almost surely, 2^{102382100105232} is an apocalyptic number.

102382100105232 is a gapful number since it is divisible by the number (12) 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 102382100105232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138198754713600).

102382100105232 is an abundant number, since it is smaller than the sum of its proper divisors (174015409321968).

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

102382100105232 is a wasteful number, since it uses less digits than its factorization.

102382100105232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843213 (or 1843207 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 102382100105232 its reverse (232501001283201), we get a palindrome (334883101388433).

The spelling of 102382100105232 in words is "one hundred two trillion, three hundred eighty-two billion, one hundred million, one hundred five thousand, two hundred thirty-two".