103233102000 has 240 divisors, whose sum is σ = 387163157472. Its totient is φ = 23596070400.

The previous prime is 103233101927. The next prime is 103233102029. The reversal of 103233102000 is 201332301.

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 (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118434 + ... + 469566.

Almost surely, 2^103233102000 is an apocalyptic number.

103233102000 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 103233102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193581578736).

103233102000 is an abundant number, since it is smaller than the sum of its proper divisors (283930055472).

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

103233102000 is a wasteful number, since it uses less digits than its factorization.

103233102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351173 (or 351150 counting only the distinct ones).

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

Adding to 103233102000 its reverse (201332301), we get a palindrome (103434434301).

The spelling of 103233102000 in words is "one hundred three billion, two hundred thirty-three million, one hundred two thousand".