102048223640 has 128 divisors (see below), whose sum is σ = 253250150400. Its totient is φ = 36700231680.

The previous prime is 102048223637. The next prime is 102048223687. The reversal of 102048223640 is 46322840201.

It is a junction number, because it is equal to n+sod(n) for n = 102048223597 and 102048223606.

It is a congruent number.

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, 18828851 + ... + 18834269.

It is an arithmetic number, because the mean of its divisors is an integer number (1978516800).

Almost surely, 2^102048223640 is an apocalyptic number.

102048223640 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 102048223640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126625075200).

102048223640 is an abundant number, since it is smaller than the sum of its proper divisors (151201926760).

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

102048223640 is a wasteful number, since it uses less digits than its factorization.

102048223640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 102048223640 in words is "one hundred two billion, forty-eight million, two hundred twenty-three thousand, six hundred forty".