10903257120 has 192 divisors, whose sum is σ = 39895946496. Its totient is φ = 2451271680.

The previous prime is 10903257119. The next prime is 10903257121. The reversal of 10903257120 is 2175230901.

It is an interprime number because it is at equal distance from previous prime (10903257119) and next prime (10903257121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10903257121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178362 + ... + 231558.

It is an arithmetic number, because the mean of its divisors is an integer number (207791388).

Almost surely, 2^10903257120 is an apocalyptic number.

10903257120 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 10903257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19947973248).

10903257120 is an abundant number, since it is smaller than the sum of its proper divisors (28992689376).

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

10903257120 is a wasteful number, since it uses less digits than its factorization.

10903257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53283 (or 53275 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 10903257120 in words is "ten billion, nine hundred three million, two hundred fifty-seven thousand, one hundred twenty".