1000102320 has 240 divisors, whose sum is σ = 3902613312. Its totient is φ = 224778240.

The previous prime is 1000102309. The next prime is 1000102387. The reversal of 1000102320 is 232010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305814 + ... + 309066.

Almost surely, 2^1000102320 is an apocalyptic number.

1000102320 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 1000102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951306656).

1000102320 is an abundant number, since it is smaller than the sum of its proper divisors (2902510992).

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

1000102320 is a wasteful number, since it uses less digits than its factorization.

1000102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000102320 is about 31624.3943815530. The cubic root of 1000102320 is about 1000.0341055035.

Adding to 1000102320 its reverse (232010001), we get a palindrome (1232112321).

The spelling of 1000102320 in words is "one billion, one hundred two thousand, three hundred twenty".