102070383360 has 576 divisors, whose sum is σ = 378810432000. Its totient is φ = 23162388480.

The previous prime is 102070383329. The next prime is 102070383361. The reversal of 102070383360 is 63383070201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (102070383361) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 71427126 + ... + 71428554.

It is an arithmetic number, because the mean of its divisors is an integer number (657657000).

Almost surely, 2^102070383360 is an apocalyptic number.

102070383360 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 102070383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189405216000).

102070383360 is an abundant number, since it is smaller than the sum of its proper divisors (276740048640).

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

102070383360 is a wasteful number, since it uses less digits than its factorization.

102070383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 102070383360 in words is "one hundred two billion, seventy million, three hundred eighty-three thousand, three hundred sixty".