102185296640 has 144 divisors (see below), whose sum is σ = 281613326400. Its totient is φ = 34799370240.

The previous prime is 102185296637. The next prime is 102185296673. The reversal of 102185296640 is 46692581201.

It is a junction number, because it is equal to n+sod(n) for n = 102185296591 and 102185296600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296770 + ... + 1373310.

It is an arithmetic number, because the mean of its divisors is an integer number (1955648100).

Almost surely, 2^102185296640 is an apocalyptic number.

102185296640 is a gapful number since it is divisible by the number (10) 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 102185296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140806663200).

102185296640 is an abundant number, since it is smaller than the sum of its proper divisors (179428029760).

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

102185296640 is an equidigital number, since it uses as much as digits as its factorization.

102185296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76718 (or 76704 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 102185296640 in words is "one hundred two billion, one hundred eighty-five million, two hundred ninety-six thousand, six hundred forty".