102044155442320 has 1280 divisors, whose sum is σ = 333646805237760. Its totient is φ = 28077581795328.

The previous prime is 102044155442261. The next prime is 102044155442399. The reversal of 102044155442320 is 23244551440201.

It is a self number, because there is not a number n which added to its sum of digits gives 102044155442320.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20812592989 + ... + 20812597891.

It is an arithmetic number, because the mean of its divisors is an integer number (260661566592).

Almost surely, 2^{102044155442320} is an apocalyptic number.

102044155442320 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 102044155442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166823402618880).

102044155442320 is an abundant number, since it is smaller than the sum of its proper divisors (231602649795440).

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

102044155442320 is a wasteful number, since it uses less digits than its factorization.

102044155442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 102044155442320 in words is "one hundred two trillion, forty-four billion, one hundred fifty-five million, four hundred forty-two thousand, three hundred twenty".