103023312000 has 1024 divisors, whose sum is σ = 411675264000. Its totient is φ = 22295347200.

The previous prime is 103023311999. The next prime is 103023312083. The reversal of 103023312000 is 213320301.

It is a super-2 number, since 2×103023312000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 945167946 + ... + 945168054.

It is an arithmetic number, because the mean of its divisors is an integer number (402026625).

Almost surely, 2^103023312000 is an apocalyptic number.

103023312000 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 103023312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205837632000).

103023312000 is an abundant number, since it is smaller than the sum of its proper divisors (308651952000).

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

103023312000 is a wasteful number, since it uses less digits than its factorization.

103023312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103023312000 its reverse (213320301), we get a palindrome (103236632301).

The spelling of 103023312000 in words is "one hundred three billion, twenty-three million, three hundred twelve thousand".