102819609360 has 320 divisors, whose sum is σ = 382635509760. Its totient is φ = 25227417600.

The previous prime is 102819609313. The next prime is 102819609419. The reversal of 102819609360 is 63906918201.

It is a happy number.

102819609360 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 1 + 9 + 609 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8895585 + ... + 8907135.

It is an arithmetic number, because the mean of its divisors is an integer number (1195735968).

Almost surely, 2^102819609360 is an apocalyptic number.

102819609360 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 102819609360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191317754880).

102819609360 is an abundant number, since it is smaller than the sum of its proper divisors (279815900400).

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

102819609360 is a wasteful number, since it uses less digits than its factorization.

102819609360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11903 (or 11891 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 102819609360 in words is "one hundred two billion, eight hundred nineteen million, six hundred nine thousand, three hundred sixty".