10303523120 has 80 divisors (see below), whose sum is σ = 26157924000. Its totient is φ = 3743232000.

The previous prime is 10303523119. The next prime is 10303523189. The reversal of 10303523120 is 2132530301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10303523092 and 10303523101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052006 + ... + 1061754.

It is an arithmetic number, because the mean of its divisors is an integer number (326974050).

Almost surely, 2^10303523120 is an apocalyptic number.

10303523120 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 10303523120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078962000).

10303523120 is an abundant number, since it is smaller than the sum of its proper divisors (15854400880).

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

10303523120 is a wasteful number, since it uses less digits than its factorization.

10303523120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10974 (or 10968 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The spelling of 10303523120 in words is "ten billion, three hundred three million, five hundred twenty-three thousand, one hundred twenty".